88245516631680 has 1024 divisors, whose sum is σ = 332664710745600. Its totient is φ = 22031518924800.

The previous prime is 88245516631661. The next prime is 88245516631717. The reversal of 88245516631680 is 8613661554288.

88245516631680 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 5 + 516 + 6 + 31 + 6 + 80 = 666.

It is a super-2 number, since 2×88245516631680² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 64272043474 + ... + 64272044846.

Almost surely, 2^{88245516631680} is an apocalyptic number.

88245516631680 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 88245516631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166332355372800).

88245516631680 is an abundant number, since it is smaller than the sum of its proper divisors (244419194113920).

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

88245516631680 is a wasteful number, since it uses less digits than its factorization.

88245516631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 88245516631680 in words is "eighty-eight trillion, two hundred forty-five billion, five hundred sixteen million, six hundred thirty-one thousand, six hundred eighty".