88875974400 has 432 divisors, whose sum is σ = 307517150976. Its totient is φ = 22562242560.

The previous prime is 88875974371. The next prime is 88875974437. The reversal of 88875974400 is 447957888.

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 47 ways as a sum of consecutive naturals, for example, 138220479 + ... + 138221121.

Almost surely, 2^88875974400 is an apocalyptic number.

88875974400 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 88875974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153758575488).

88875974400 is an abundant number, since it is smaller than the sum of its proper divisors (218641176576).

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

88875974400 is a wasteful number, since it uses less digits than its factorization.

88875974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 88875974400 in words is "eighty-eight billion, eight hundred seventy-five million, nine hundred seventy-four thousand, four hundred".