88808918400 has 576 divisors, whose sum is σ = 345980980800. Its totient is φ = 22432204800.

The previous prime is 88808918347. The next prime is 88808918423. The reversal of 88808918400 is 481980888.

88808918400 is a `hidden beast` number, since 88 + 80 + 89 + 1 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14771395 + ... + 14777405.

It is an arithmetic number, because the mean of its divisors is an integer number (600661425).

Almost surely, 2^88808918400 is an apocalyptic number.

88808918400 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 88808918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172990490400).

88808918400 is an abundant number, since it is smaller than the sum of its proper divisors (257172062400).

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

88808918400 is a wasteful number, since it uses less digits than its factorization.

88808918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 88808918400 in words is "eighty-eight billion, eight hundred eight million, nine hundred eighteen thousand, four hundred".