86076720576 has 672 divisors, whose sum is σ = 331831127040. Its totient is φ = 21377157120.

The previous prime is 86076720563. The next prime is 86076720577. The reversal of 86076720576 is 67502767068.

86076720576 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 67 + 2 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86076720577) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33661890 + ... + 33664446.

It is an arithmetic number, because the mean of its divisors is an integer number (493796320).

Almost surely, 2^86076720576 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 86076720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165915563520).

86076720576 is an abundant number, since it is smaller than the sum of its proper divisors (245754406464).

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

86076720576 is a wasteful number, since it uses less digits than its factorization.

86076720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 86076720576 in words is "eighty-six billion, seventy-six million, seven hundred twenty thousand, five hundred seventy-six".