88125651202176 has 896 divisors, whose sum is σ = 304218180604800. Its totient is φ = 24895940198400.

The previous prime is 88125651202159. The next prime is 88125651202181. The reversal of 88125651202176 is 67120215652188.

88125651202176 is a `hidden beast` number, since 8 + 8 + 1 + 2 + 56 + 512 + 0 + 2 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×88125651202176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 45637311931 + ... + 45637313861.

It is an arithmetic number, because the mean of its divisors is an integer number (339529219425).

Almost surely, 2^{88125651202176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88125651202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152109090302400).

88125651202176 is an abundant number, since it is smaller than the sum of its proper divisors (216092529402624).

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

88125651202176 is a wasteful number, since it uses less digits than its factorization.

88125651202176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 88125651202176 in words is "eighty-eight trillion, one hundred twenty-five billion, six hundred fifty-one million, two hundred two thousand, one hundred seventy-six".