88170689031696 has 640 divisors, whose sum is σ = 269409423360000. Its totient is φ = 27564626073600.

The previous prime is 88170689031683. The next prime is 88170689031713. The reversal of 88170689031696 is 69613098607188.

88170689031696 is a `hidden beast` number, since 8 + 81 + 7 + 0 + 68 + 90 + 316 + 96 = 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 127 ways as a sum of consecutive naturals, for example, 52828452750 + ... + 52828454418.

It is an arithmetic number, because the mean of its divisors is an integer number (420952224000).

Almost surely, 2^{88170689031696} is an apocalyptic number.

88170689031696 is a gapful number since it is divisible by the number (86) 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 88170689031696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134704711680000).

88170689031696 is an abundant number, since it is smaller than the sum of its proper divisors (181238734328304).

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

88170689031696 is a wasteful number, since it uses less digits than its factorization.

88170689031696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 88170689031696 in words is "eighty-eight trillion, one hundred seventy billion, six hundred eighty-nine million, thirty-one thousand, six hundred ninety-six".