86552225568 has 96 divisors (see below), whose sum is σ = 255639686400. Its totient is φ = 28485520128.

The previous prime is 86552225519. The next prime is 86552225569.

86552225568 is a `hidden beast` number, since 8 + 6 + 5 + 52 + 2 + 25 + 568 = 666.

86552225568 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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 (86552225569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565771 + ... + 702282.

It is an arithmetic number, because the mean of its divisors is an integer number (2662913400).

Almost surely, 2^86552225568 is an apocalyptic number.

It is an amenable number.

86552225568 is an abundant number, since it is smaller than the sum of its proper divisors (169087460832).

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

86552225568 is a wasteful number, since it uses less digits than its factorization.

86552225568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268151 (or 1268137 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 86552225568 in words is "eighty-six billion, five hundred fifty-two million, two hundred twenty-five thousand, five hundred sixty-eight".