86656394880 has 384 divisors, whose sum is σ = 327201638400. Its totient is φ = 20958535680.

The previous prime is 86656394879. The next prime is 86656394897. The reversal of 86656394880 is 8849365668.

86656394880 is a `hidden beast` number, since 8 + 66 + 563 + 9 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32248897 + ... + 32251583.

It is an arithmetic number, because the mean of its divisors is an integer number (852087600).

Almost surely, 2^86656394880 is an apocalyptic number.

86656394880 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 86656394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163600819200).

86656394880 is an abundant number, since it is smaller than the sum of its proper divisors (240545243520).

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

86656394880 is a wasteful number, since it uses less digits than its factorization.

86656394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 86656394880 in words is "eighty-six billion, six hundred fifty-six million, three hundred ninety-four thousand, eight hundred eighty".