109916829792 has 864 divisors, whose sum is σ = 420290640000. Its totient is φ = 27829992960.

The previous prime is 109916829779. The next prime is 109916829793. The reversal of 109916829792 is 297928619901.

109916829792 is a `hidden beast` number, since 10 + 99 + 168 + 297 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109916829793) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220273959 + ... + 220274457.

It is an arithmetic number, because the mean of its divisors is an integer number (486447500).

Almost surely, 2^109916829792 is an apocalyptic number.

109916829792 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 109916829792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210145320000).

109916829792 is an abundant number, since it is smaller than the sum of its proper divisors (310373810208).

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

109916829792 is a wasteful number, since it uses less digits than its factorization.

109916829792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 109916829792 in words is "one hundred nine billion, nine hundred sixteen million, eight hundred twenty-nine thousand, seven hundred ninety-two".