109693872000000 has 1232 divisors, whose sum is σ = 419220233912320. Its totient is φ = 28304640000000.

The previous prime is 109693871999927. The next prime is 109693872000017. The reversal of 109693872000000 is 278396901.

109693872000000 is a `hidden beast` number, since 1 + 0 + 9 + 69 + 387 + 200 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 109693872000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13391995905 + ... + 13392004095.

Almost surely, 2^{109693872000000} is an apocalyptic number.

109693872000000 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 109693872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209610116956160).

109693872000000 is an abundant number, since it is smaller than the sum of its proper divisors (309526361912320).

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

109693872000000 is an frugal number, since it uses more digits than its factorization.

109693872000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 109693872000000 in words is "one hundred nine trillion, six hundred ninety-three billion, eight hundred seventy-two million", and thus it is an aban number.