86993576064 has 48 divisors (see below), whose sum is σ = 250333080270. Its totient is φ = 28997858304.

The previous prime is 86993576029. The next prime is 86993576113. The reversal of 86993576064 is 46067539968.

86993576064 is a `hidden beast` number, since 86 + 99 + 357 + 60 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72679846464 + 14313729600 = 269592^2 + 119640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 86993575992 and 86993576010.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37756477 + ... + 37758780.

Almost surely, 2^86993576064 is an apocalyptic number.

It is an amenable number.

86993576064 is an abundant number, since it is smaller than the sum of its proper divisors (163339504206).

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

86993576064 is a wasteful number, since it uses less digits than its factorization.

86993576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75515277 (or 75515262 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 86993576064 in words is "eighty-six billion, nine hundred ninety-three million, five hundred seventy-six thousand, sixty-four".