88315874918400 has 180 divisors, whose sum is σ = 292022251709552. Its totient is φ = 23550899650560.

The previous prime is 88315874918399. The next prime is 88315874918407. The reversal of 88315874918400 is 481947851388.

It is not an unprimeable number, because it can be changed into a prime (88315874918407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34707022 + ... + 37164621.

Almost surely, 2^{88315874918400} is an apocalyptic number.

88315874918400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88315874918400 is an abundant number, since it is smaller than the sum of its proper divisors (203706376791152).

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

88315874918400 is an equidigital number, since it uses as much as digits as its factorization.

88315874918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71871684 (or 71871653 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 66.

The spelling of 88315874918400 in words is "eighty-eight trillion, three hundred fifteen billion, eight hundred seventy-four million, nine hundred eighteen thousand, four hundred".