88564973978880 has 2160 divisors, whose sum is σ = 390574963037952. Its totient is φ = 18735258009600.

The previous prime is 88564973978867. The next prime is 88564973978939. The reversal of 88564973978880 is 8887937946588.

88564973978880 is a `hidden beast` number, since 8 + 8 + 5 + 6 + 497 + 39 + 7 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16041470520 + ... + 16041476040.

Almost surely, 2^{88564973978880} is an apocalyptic number.

88564973978880 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 88564973978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195287481518976).

88564973978880 is an abundant number, since it is smaller than the sum of its proper divisors (302009989059072).

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

88564973978880 is a wasteful number, since it uses less digits than its factorization.

88564973978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5646 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 46820229120, while the sum is 90.

The spelling of 88564973978880 in words is "eighty-eight trillion, five hundred sixty-four billion, nine hundred seventy-three million, nine hundred seventy-eight thousand, eight hundred eighty".