88501881256800 has 576 divisors, whose sum is σ = 317501883578880. Its totient is φ = 21234069504000.

The previous prime is 88501881256799. The next prime is 88501881256823. The reversal of 88501881256800 is 865218810588.

88501881256800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5060422456 + ... + 5060439944.

It is an arithmetic number, because the mean of its divisors is an integer number (551218547880).

Almost surely, 2^{88501881256800} is an apocalyptic number.

88501881256800 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 88501881256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158750941789440).

88501881256800 is an abundant number, since it is smaller than the sum of its proper divisors (229000002322080).

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

88501881256800 is a wasteful number, since it uses less digits than its factorization.

88501881256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19487 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 60.

The spelling of 88501881256800 in words is "eighty-eight trillion, five hundred one billion, eight hundred eighty-one million, two hundred fifty-six thousand, eight hundred".