86046518052 has 240 divisors, whose sum is σ = 258767308800. Its totient is φ = 24658395840.

The previous prime is 86046518029. The next prime is 86046518111. The reversal of 86046518052 is 25081564068.

86046518052 is a `hidden beast` number, since 8 + 6 + 0 + 465 + 180 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86046517989 and 86046518007.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70356313 + ... + 70357535.

It is an arithmetic number, because the mean of its divisors is an integer number (1078197120).

Almost surely, 2^86046518052 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 86046518052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129383654400).

86046518052 is an abundant number, since it is smaller than the sum of its proper divisors (172720790748).

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

86046518052 is a wasteful number, since it uses less digits than its factorization.

86046518052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 86046518052 in words is "eighty-six billion, forty-six million, five hundred eighteen thousand, fifty-two".