88537806000 has 480 divisors, whose sum is σ = 368954688960. Its totient is φ = 20236608000.

The previous prime is 88537805989. The next prime is 88537806043. The reversal of 88537806000 is 60873588.

88537806000 is a `hidden beast` number, since 8 + 8 + 5 + 37 + 8 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2629270 + ... + 2662730.

It is an arithmetic number, because the mean of its divisors is an integer number (768655602).

Almost surely, 2^88537806000 is an apocalyptic number.

88537806000 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 88537806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184477344480).

88537806000 is an abundant number, since it is smaller than the sum of its proper divisors (280416882960).

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

88537806000 is a wasteful number, since it uses less digits than its factorization.

88537806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33507 (or 33478 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 88537806000 in words is "eighty-eight billion, five hundred thirty-seven million, eight hundred six thousand".