86297283072 has 960 divisors, whose sum is σ = 341676631296. Its totient is φ = 20242759680.

The previous prime is 86297283071. The next prime is 86297283113. The reversal of 86297283072 is 27038279268.

86297283072 is a `hidden beast` number, since 8 + 6 + 297 + 283 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (86297283071) 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, 244468048 + ... + 244468400.

Almost surely, 2^86297283072 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 86297283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170838315648).

86297283072 is an abundant number, since it is smaller than the sum of its proper divisors (255379348224).

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

86297283072 is a wasteful number, since it uses less digits than its factorization.

86297283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 86297283072 in words is "eighty-six billion, two hundred ninety-seven million, two hundred eighty-three thousand, seventy-two".