86236557120 has 896 divisors, whose sum is σ = 361926835200. Its totient is φ = 18919194624.

The previous prime is 86236557119. The next prime is 86236557133. The reversal of 86236557120 is 2175563268.

86236557120 is a `hidden beast` number, since 8 + 62 + 36 + 557 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×86236557120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199160424 + ... + 199160856.

It is an arithmetic number, because the mean of its divisors is an integer number (403936200).

Almost surely, 2^86236557120 is an apocalyptic number.

86236557120 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 86236557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180963417600).

86236557120 is an abundant number, since it is smaller than the sum of its proper divisors (275690278080).

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

86236557120 is a wasteful number, since it uses less digits than its factorization.

86236557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 86236557120 in words is "eighty-six billion, two hundred thirty-six million, five hundred fifty-seven thousand, one hundred twenty".