88365323416320 has 1728 divisors, whose sum is σ = 340689521442816. Its totient is φ = 21851669790720.

The previous prime is 88365323416309. The next prime is 88365323416351. The reversal of 88365323416320 is 2361432356388.

88365323416320 is a `hidden beast` number, since 8 + 8 + 3 + 6 + 532 + 3 + 41 + 63 + 2 + 0 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 121547899797 + ... + 121547900523.

It is an arithmetic number, because the mean of its divisors is an integer number (197158287872).

Almost surely, 2^{88365323416320} is an apocalyptic number.

88365323416320 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 88365323416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170344760721408).

88365323416320 is an abundant number, since it is smaller than the sum of its proper divisors (252324198026496).

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

88365323416320 is a wasteful number, since it uses less digits than its factorization.

88365323416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 88365323416320 in words is "eighty-eight trillion, three hundred sixty-five billion, three hundred twenty-three million, four hundred sixteen thousand, three hundred twenty".