86634757833120 has 3840 divisors, whose sum is σ = 399602294784000. Its totient is φ = 17216467107840.

The previous prime is 86634757833073. The next prime is 86634757833137. The reversal of 86634757833120 is 2133875743668.

86634757833120 is a `hidden beast` number, since 8 + 6 + 6 + 3 + 4 + 7 + 578 + 3 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 192950462656 + ... + 192950463104.

It is an arithmetic number, because the mean of its divisors is an integer number (104063097600).

Almost surely, 2^{86634757833120} is an apocalyptic number.

86634757833120 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 86634757833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199801147392000).

86634757833120 is an abundant number, since it is smaller than the sum of its proper divisors (312967536950880).

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

86634757833120 is a wasteful number, since it uses less digits than its factorization.

86634757833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 86634757833120 in words is "eighty-six trillion, six hundred thirty-four billion, seven hundred fifty-seven million, eight hundred thirty-three thousand, one hundred twenty".