86807708064 has 576 divisors, whose sum is σ = 322959716352. Its totient is φ = 21461760000.

The previous prime is 86807708063. The next prime is 86807708137. The reversal of 86807708064 is 46080770868.

It is a self number, because there is not a number n which added to its sum of digits gives 86807708064.

It is not an unprimeable number, because it can be changed into a prime (86807708063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38562939 + ... + 38565189.

It is an arithmetic number, because the mean of its divisors is an integer number (560693952).

Almost surely, 2^86807708064 is an apocalyptic number.

86807708064 is a gapful number since it is divisible by the number (84) 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 86807708064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161479858176).

86807708064 is an abundant number, since it is smaller than the sum of its proper divisors (236152008288).

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

86807708064 is a wasteful number, since it uses less digits than its factorization.

86807708064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 86807708064 in words is "eighty-six billion, eight hundred seven million, seven hundred eight thousand, sixty-four".