88056526800 has 360 divisors, whose sum is σ = 311978148192. Its totient is φ = 21053440000.

The previous prime is 88056526763. The next prime is 88056526807. The reversal of 88056526800 is 862565088.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88056526800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88056526807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 342632272 + ... + 342632528.

Almost surely, 2^88056526800 is an apocalyptic number.

88056526800 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 88056526800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155989074096).

88056526800 is an abundant number, since it is smaller than the sum of its proper divisors (223921621392).

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

88056526800 is a wasteful number, since it uses less digits than its factorization.

88056526800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 88056526800 in words is "eighty-eight billion, fifty-six million, five hundred twenty-six thousand, eight hundred".