86309810496 has 840 divisors, whose sum is σ = 326682750240. Its totient is φ = 22326700032.

The previous prime is 86309810471. The next prime is 86309810539. The reversal of 86309810496 is 69401890368.

86309810496 is a `hidden beast` number, since 8 + 63 + 0 + 98 + 1 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194830051 + ... + 194830493.

It is an arithmetic number, because the mean of its divisors is an integer number (388908036).

Almost surely, 2^86309810496 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 86309810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163341375120).

86309810496 is an abundant number, since it is smaller than the sum of its proper divisors (240372939744).

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

86309810496 is a wasteful number, since it uses less digits than its factorization.

86309810496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 86309810496 in words is "eighty-six billion, three hundred nine million, eight hundred ten thousand, four hundred ninety-six".