109350038568960 has 3072 divisors, whose sum is σ = 479812331980800. Its totient is φ = 23335966605312.

The previous prime is 109350038568943. The next prime is 109350038568971. The reversal of 109350038568960 is 69865830053901.

109350038568960 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 5 + 0 + 0 + 3 + 8 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 566580510624 + ... + 566580510816.

It is an arithmetic number, because the mean of its divisors is an integer number (156188910150).

Almost surely, 2^{109350038568960} is an apocalyptic number.

109350038568960 is a gapful number since it is divisible by the number (10) 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 109350038568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239906165990400).

109350038568960 is an abundant number, since it is smaller than the sum of its proper divisors (370462293411840).

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

109350038568960 is an equidigital number, since it uses as much as digits as its factorization.

109350038568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 109350038568960 in words is "one hundred nine trillion, three hundred fifty billion, thirty-eight million, five hundred sixty-eight thousand, nine hundred sixty".