86564488025520 has 240 divisors, whose sum is σ = 292586479016832. Its totient is φ = 22935287531520.

The previous prime is 86564488025479. The next prime is 86564488025531. The reversal of 86564488025520 is 2552088446568.

It is a happy number.

86564488025520 is a `hidden beast` number, since 8 + 6 + 5 + 6 + 4 + 4 + 8 + 80 + 25 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142135897 + ... + 142743623.

Almost surely, 2^{86564488025520} is an apocalyptic number.

86564488025520 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 86564488025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146293239508416).

86564488025520 is an abundant number, since it is smaller than the sum of its proper divisors (206021990991312).

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

86564488025520 is a wasteful number, since it uses less digits than its factorization.

86564488025520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609020 (or 609011 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 86564488025520 in words is "eighty-six trillion, five hundred sixty-four billion, four hundred eighty-eight million, twenty-five thousand, five hundred twenty".