88993112400 has 420 divisors, whose sum is σ = 323783779488. Its totient is φ = 23493162240.

The previous prime is 88993112393. The next prime is 88993112407. The reversal of 88993112400 is 421139988.

88993112400 is a `hidden beast` number, since 8 + 8 + 99 + 311 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88993112393) and next prime (88993112407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88993112407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30033319 + ... + 30036281.

Almost surely, 2^88993112400 is an apocalyptic number.

88993112400 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 88993112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161891889744).

88993112400 is an abundant number, since it is smaller than the sum of its proper divisors (234790667088).

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

88993112400 is a wasteful number, since it uses less digits than its factorization.

88993112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 88993112400 in words is "eighty-eight billion, nine hundred ninety-three million, one hundred twelve thousand, four hundred".