86077856183904 has 1152 divisors, whose sum is σ = 290554589445120. Its totient is φ = 24626855264256.

The previous prime is 86077856183899. The next prime is 86077856183959. The reversal of 86077856183904 is 40938165877068.

86077856183904 is a `hidden beast` number, since 8 + 607 + 7 + 8 + 5 + 6 + 1 + 8 + 3 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29651344117 + ... + 29651347019.

It is an arithmetic number, because the mean of its divisors is an integer number (252217525560).

Almost surely, 2^{86077856183904} 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 86077856183904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145277294722560).

86077856183904 is an abundant number, since it is smaller than the sum of its proper divisors (204476733261216).

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

86077856183904 is a wasteful number, since it uses less digits than its factorization.

86077856183904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 86077856183904 in words is "eighty-six trillion, seventy-seven billion, eight hundred fifty-six million, one hundred eighty-three thousand, nine hundred four".