88769318400 has 1440 divisors, whose sum is σ = 387546052608. Its totient is φ = 18977587200.

The previous prime is 88769318399. The next prime is 88769318411. The reversal of 88769318400 is 481396788.

88769318400 is a `hidden beast` number, since 88 + 76 + 93 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1324915167 + ... + 1324915233.

Almost surely, 2^88769318400 is an apocalyptic number.

88769318400 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 88769318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193773026304).

88769318400 is an abundant number, since it is smaller than the sum of its proper divisors (298776734208).

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

88769318400 is a wasteful number, since it uses less digits than its factorization.

88769318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 88769318400 in words is "eighty-eight billion, seven hundred sixty-nine million, three hundred eighteen thousand, four hundred".