86064765696 has 216 divisors, whose sum is σ = 305411127840. Its totient is φ = 22698344448.

The previous prime is 86064765667. The next prime is 86064765727. The reversal of 86064765696 is 69656746068.

86064765696 is a `hidden beast` number, since 8 + 6 + 0 + 64 + 7 + 6 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4420 + ... + 414908.

Almost surely, 2^86064765696 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 86064765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152705563920).

86064765696 is an abundant number, since it is smaller than the sum of its proper divisors (219346362144).

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

86064765696 is a wasteful number, since it uses less digits than its factorization.

86064765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410531 (or 410514 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 86064765696 in words is "eighty-six billion, sixty-four million, seven hundred sixty-five thousand, six hundred ninety-six".