86564504315520 has 1536 divisors, whose sum is σ = 382725831720960. Its totient is φ = 17506691481600.

The previous prime is 86564504315519. The next prime is 86564504315521. The reversal of 86564504315520 is 2551340546568.

86564504315520 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 4 + 50 + 4 + 31 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86564504315519) and next prime (86564504315521).

It is not an unprimeable number, because it can be changed into a prime (86564504315521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3773013169 + ... + 3773036111.

It is an arithmetic number, because the mean of its divisors is an integer number (249170463360).

Almost surely, 2^{86564504315520} is an apocalyptic number.

86564504315520 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 86564504315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191362915860480).

86564504315520 is an abundant number, since it is smaller than the sum of its proper divisors (296161327405440).

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

86564504315520 is a wasteful number, since it uses less digits than its factorization.

86564504315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214 (or 23199 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 86564504315520 in words is "eighty-six trillion, five hundred sixty-four billion, five hundred four million, three hundred fifteen thousand, five hundred twenty".