86515451568 has 160 divisors (see below), whose sum is σ = 305638771200. Its totient is φ = 22817251584.

The previous prime is 86515451563. The next prime is 86515451573.

86515451568 is a `hidden beast` number, since 8 + 65 + 1 + 5 + 4 + 515 + 68 = 666.

86515451568 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (86515451563) and next prime (86515451573).

It is a super-3 number, since 3×86515451568³ (a number of 34 digits) contains 333 as substring.

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 (86515451563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061058 + ... + 1139681.

It is an arithmetic number, because the mean of its divisors is an integer number (1910242320).

Almost surely, 2^86515451568 is an apocalyptic number.

It is an amenable number.

86515451568 is an abundant number, since it is smaller than the sum of its proper divisors (219123319632).

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

86515451568 is a wasteful number, since it uses less digits than its factorization.

86515451568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200776 (or 2200764 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 54.

The spelling of 86515451568 in words is "eighty-six billion, five hundred fifteen million, four hundred fifty-one thousand, five hundred sixty-eight".