88836168960 has 1728 divisors, whose sum is σ = 422784230400. Its totient is φ = 17418240000.

The previous prime is 88836168853. The next prime is 88836168977. The reversal of 88836168960 is 6986163888.

88836168960 is a `hidden beast` number, since 8 + 8 + 8 + 3 + 616 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353928835 + ... + 353929085.

It is an arithmetic number, because the mean of its divisors is an integer number (244666800).

Almost surely, 2^88836168960 is an apocalyptic number.

88836168960 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 88836168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392115200).

88836168960 is an abundant number, since it is smaller than the sum of its proper divisors (333948061440).

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

88836168960 is a wasteful number, since it uses less digits than its factorization.

88836168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 88836168960 in words is "eighty-eight billion, eight hundred thirty-six million, one hundred sixty-eight thousand, nine hundred sixty".