86755084416 has 768 divisors, whose sum is σ = 349870510080. Its totient is φ = 19889971200.

The previous prime is 86755084399. The next prime is 86755084421. The reversal of 86755084416 is 61448055768.

86755084416 is a `hidden beast` number, since 8 + 6 + 7 + 550 + 84 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×86755084416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26520861 + ... + 26524131.

It is an arithmetic number, because the mean of its divisors is an integer number (455560560).

Almost surely, 2^86755084416 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 86755084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174935255040).

86755084416 is an abundant number, since it is smaller than the sum of its proper divisors (263115425664).

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

86755084416 is a wasteful number, since it uses less digits than its factorization.

86755084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 86755084416 in words is "eighty-six billion, seven hundred fifty-five million, eighty-four thousand, four hundred sixteen".