86060074320 has 320 divisors, whose sum is σ = 326409108480. Its totient is φ = 20667456000.

The previous prime is 86060074319. The next prime is 86060074337. The reversal of 86060074320 is 2347006068.

86060074320 is a `hidden beast` number, since 8 + 6 + 0 + 600 + 7 + 43 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2525395 + ... + 2559245.

It is an arithmetic number, because the mean of its divisors is an integer number (1020028464).

Almost surely, 2^86060074320 is an apocalyptic number.

86060074320 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 86060074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163204554240).

86060074320 is an abundant number, since it is smaller than the sum of its proper divisors (240349034160).

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

86060074320 is a wasteful number, since it uses less digits than its factorization.

86060074320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33991 (or 33979 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 86060074320 in words is "eighty-six billion, sixty million, seventy-four thousand, three hundred twenty".