109992207872088 has 160 divisors (see below), whose sum is σ = 315794163762000. Its totient is φ = 35747156597760.

The previous prime is 109992207872081. The next prime is 109992207872147. The reversal of 109992207872088 is 880278702299901.

109992207872088 is a `hidden beast` number, since 109 + 99 + 220 + 7 + 8 + 7 + 208 + 8 = 666.

It is a Cunningham number, because it is equal to 10487717²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109992207872081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40639908 + ... + 43261836.

Almost surely, 2^{109992207872088} is an apocalyptic number.

109992207872088 is a gapful number since it is divisible by the number (18) 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 109992207872088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157897081881000).

109992207872088 is an abundant number, since it is smaller than the sum of its proper divisors (205801955889912).

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

109992207872088 is a wasteful number, since it uses less digits than its factorization.

109992207872088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623567 (or 2623554 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 109992207872088 in words is "one hundred nine trillion, nine hundred ninety-two billion, two hundred seven million, eight hundred seventy-two thousand, eighty-eight".