88407233568 has 576 divisors, whose sum is σ = 287107172352. Its totient is φ = 26649907200.

The previous prime is 88407233561. The next prime is 88407233569. The reversal of 88407233568 is 86533270488.

88407233568 is a `hidden beast` number, since 8 + 8 + 4 + 0 + 72 + 3 + 3 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (88407233561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 585478293 + ... + 585478443.

It is an arithmetic number, because the mean of its divisors is an integer number (498449952).

Almost surely, 2^88407233568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88407233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143553586176).

88407233568 is an abundant number, since it is smaller than the sum of its proper divisors (198699938784).

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

88407233568 is a wasteful number, since it uses less digits than its factorization.

88407233568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 88407233568 in words is "eighty-eight billion, four hundred seven million, two hundred thirty-three thousand, five hundred sixty-eight".