88313794560 has 520 divisors, whose sum is σ = 319692764160. Its totient is φ = 23319871488.

The previous prime is 88313794559. The next prime is 88313794567. The reversal of 88313794560 is 6549731388.

88313794560 is a `hidden beast` number, since 8 + 8 + 3 + 1 + 3 + 79 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88313794497 and 88313794506.

It is not an unprimeable number, because it can be changed into a prime (88313794567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230584129 + ... + 230584511.

Almost surely, 2^88313794560 is an apocalyptic number.

88313794560 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 88313794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159846382080).

88313794560 is an abundant number, since it is smaller than the sum of its proper divisors (231378969600).

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

88313794560 is a wasteful number, since it uses less digits than its factorization.

88313794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 88313794560 in words is "eighty-eight billion, three hundred thirteen million, seven hundred ninety-four thousand, five hundred sixty".