86292081216 has 420 divisors, whose sum is σ = 287245373184. Its totient is φ = 25584007680.

The previous prime is 86292081179. The next prime is 86292081301. The reversal of 86292081216 is 61218029268.

86292081216 is a `hidden beast` number, since 8 + 629 + 2 + 0 + 8 + 1 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29479945 + ... + 29482871.

Almost surely, 2^86292081216 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 86292081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143622686592).

86292081216 is an abundant number, since it is smaller than the sum of its proper divisors (200953291968).

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

86292081216 is a wasteful number, since it uses less digits than its factorization.

86292081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 86292081216 in words is "eighty-six billion, two hundred ninety-two million, eighty-one thousand, two hundred sixteen".