86314635720 has 128 divisors (see below), whose sum is σ = 287794080000. Its totient is φ = 23010946560.

The previous prime is 86314635709. The next prime is 86314635731. The reversal of 86314635720 is 2753641368.

86314635720 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 4 + 635 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86314635709) and next prime (86314635731).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 5012325 + ... + 5029515.

It is an arithmetic number, because the mean of its divisors is an integer number (2248391250).

Almost surely, 2^86314635720 is an apocalyptic number.

It is an amenable number.

86314635720 is an abundant number, since it is smaller than the sum of its proper divisors (201479444280).

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

86314635720 is a wasteful number, since it uses less digits than its factorization.

86314635720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21860 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 86314635720 in words is "eighty-six billion, three hundred fourteen million, six hundred thirty-five thousand, seven hundred twenty".