88556966400 has 480 divisors, whose sum is σ = 337568394240. Its totient is φ = 20045905920.

The previous prime is 88556966363. The next prime is 88556966431. The reversal of 88556966400 is 466965588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28760061 + ... + 28763139.

It is an arithmetic number, because the mean of its divisors is an integer number (703267488).

Almost surely, 2^88556966400 is an apocalyptic number.

88556966400 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 88556966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168784197120).

88556966400 is an abundant number, since it is smaller than the sum of its proper divisors (249011427840).

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

88556966400 is a wasteful number, since it uses less digits than its factorization.

88556966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 88556966400 in words is "eighty-eight billion, five hundred fifty-six million, nine hundred sixty-six thousand, four hundred".