88608038400 has 1200 divisors, whose sum is σ = 388639009440. Its totient is φ = 19508428800.

The previous prime is 88608038359. The next prime is 88608038417. The reversal of 88608038400 is 483080688.

88608038400 is a `hidden beast` number, since 8 + 8 + 608 + 0 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210470190 + ... + 210470610.

Almost surely, 2^88608038400 is an apocalyptic number.

88608038400 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 88608038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194319504720).

88608038400 is an abundant number, since it is smaller than the sum of its proper divisors (300030971040).

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

88608038400 is a wasteful number, since it uses less digits than its factorization.

88608038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 88608038400 in words is "eighty-eight billion, six hundred eight million, thirty-eight thousand, four hundred".