86520690816 has 256 divisors, whose sum is σ = 268703904000. Its totient is φ = 24656486400.

The previous prime is 86520690799. The next prime is 86520690829. The reversal of 86520690816 is 61809602568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79158366 + ... + 79159458.

It is an arithmetic number, because the mean of its divisors is an integer number (1049624625).

Almost surely, 2^86520690816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86520690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134351952000).

86520690816 is an abundant number, since it is smaller than the sum of its proper divisors (182183213184).

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

86520690816 is a wasteful number, since it uses less digits than its factorization.

86520690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 86520690816 in words is "eighty-six billion, five hundred twenty million, six hundred ninety thousand, eight hundred sixteen".