86472779852116 has 192 divisors, whose sum is σ = 185579781488640. Its totient is φ = 34414025472000.

The previous prime is 86472779852027. The next prime is 86472779852117. The reversal of 86472779852116 is 61125897727468.

It is a hoax number, since the sum of its digits (73) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86472779852117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14300109405 + ... + 14300115451.

It is an arithmetic number, because the mean of its divisors is an integer number (966561361920).

Almost surely, 2^{86472779852116} 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 86472779852116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92789890744320).

86472779852116 is an abundant number, since it is smaller than the sum of its proper divisors (99107001636524).

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

86472779852116 is a wasteful number, since it uses less digits than its factorization.

86472779852116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7302 (or 7300 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 73.

The spelling of 86472779852116 in words is "eighty-six trillion, four hundred seventy-two billion, seven hundred seventy-nine million, eight hundred fifty-two thousand, one hundred sixteen".