86392444896 has 216 divisors, whose sum is σ = 267848282520. Its totient is φ = 26339668992.

The previous prime is 86392444871. The next prime is 86392444907. The reversal of 86392444896 is 69844429368.

86392444896 is a `hidden beast` number, since 8 + 63 + 92 + 4 + 4 + 489 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4592566 + ... + 4611338.

It is an arithmetic number, because the mean of its divisors is an integer number (1240038345).

Almost surely, 2^86392444896 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 86392444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133924141260).

86392444896 is an abundant number, since it is smaller than the sum of its proper divisors (181455837624).

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

86392444896 is a wasteful number, since it uses less digits than its factorization.

86392444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18866 (or 18826 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 86392444896 in words is "eighty-six billion, three hundred ninety-two million, four hundred forty-four thousand, eight hundred ninety-six".