88517980474560 has 5600 divisors, whose sum is σ = 424848546726912. Its totient is φ = 17349821153280.

The previous prime is 88517980474543. The next prime is 88517980474619. The reversal of 88517980474560 is 6547408971588.

It is a happy number.

88517980474560 is a `hidden beast` number, since 8 + 8 + 5 + 1 + 7 + 98 + 0 + 474 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 1246732119325 + ... + 1246732119395.

Almost surely, 2^{88517980474560} is an apocalyptic number.

88517980474560 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 88517980474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212424273363456).

88517980474560 is an abundant number, since it is smaller than the sum of its proper divisors (336330566252352).

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

88517980474560 is a wasteful number, since it uses less digits than its factorization.

88517980474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 88517980474560 in words is "eighty-eight trillion, five hundred seventeen billion, nine hundred eighty million, four hundred seventy-four thousand, five hundred sixty".