109936405760832 has 1008 divisors, whose sum is σ = 390670830950400. Its totient is φ = 29369320243200.

The previous prime is 109936405760821. The next prime is 109936405760843. The reversal of 109936405760832 is 238067504639901.

109936405760832 is a `hidden beast` number, since 1 + 0 + 9 + 93 + 6 + 405 + 7 + 60 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (109936405760821) and next prime (109936405760843).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×109936405760832² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 109936405760832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52077879457 + ... + 52077881567.

It is an arithmetic number, because the mean of its divisors is an integer number (387570268800).

It is a 1-persistent number, because it is pandigital, but 2⋅109936405760832 = 219872811521664 is not.

Almost surely, 2^{109936405760832} is an apocalyptic number.

109936405760832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109936405760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335415475200).

109936405760832 is an abundant number, since it is smaller than the sum of its proper divisors (280734425189568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109936405760832 is a wasteful number, since it uses less digits than its factorization.

109936405760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 109936405760832 in words is "one hundred nine trillion, nine hundred thirty-six billion, four hundred five million, seven hundred sixty thousand, eight hundred thirty-two".