88192974607920 has 3840 divisors, whose sum is σ = 422151460577280. Its totient is φ = 16419185491968.

The previous prime is 88192974607861. The next prime is 88192974607993. The reversal of 88192974607920 is 2970647929188.

88192974607920 is a `hidden beast` number, since 8 + 8 + 1 + 9 + 2 + 9 + 7 + 4 + 607 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 136310625037 + ... + 136310625683.

It is an arithmetic number, because the mean of its divisors is an integer number (109935276192).

Almost surely, 2^{88192974607920} is an apocalyptic number.

88192974607920 is a gapful number since it is divisible by the number (80) 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 88192974607920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211075730288640).

88192974607920 is an abundant number, since it is smaller than the sum of its proper divisors (333958485969360).

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

88192974607920 is a wasteful number, since it uses less digits than its factorization.

88192974607920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 88192974607920 in words is "eighty-eight trillion, one hundred ninety-two billion, nine hundred seventy-four million, six hundred seven thousand, nine hundred twenty".