88008993444960 has 360 divisors, whose sum is σ = 350364971305440. Its totient is φ = 20116340568576.

The previous prime is 88008993444917. The next prime is 88008993445067. The reversal of 88008993444960 is 6944439980088.

88008993444960 is a `hidden beast` number, since 8 + 8 + 0 + 0 + 8 + 9 + 93 + 44 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9270040 + ... + 16184919.

It is an arithmetic number, because the mean of its divisors is an integer number (973236031404).

Almost surely, 2^{88008993444960} is an apocalyptic number.

88008993444960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88008993444960 is an abundant number, since it is smaller than the sum of its proper divisors (262355977860480).

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

88008993444960 is a wasteful number, since it uses less digits than its factorization.

88008993444960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25455008 (or 25454976 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 88008993444960 in words is "eighty-eight trillion, eight billion, nine hundred ninety-three million, four hundred forty-four thousand, nine hundred sixty".