86492852160 has 896 divisors, whose sum is σ = 335848439808. Its totient is φ = 18734284800.

The previous prime is 86492852141. The next prime is 86492852179. The reversal of 86492852160 is 6125829468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86492852141) and next prime (86492852179).

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, 681046017 + ... + 681046143.

It is an arithmetic number, because the mean of its divisors is an integer number (374830848).

Almost surely, 2^86492852160 is an apocalyptic number.

86492852160 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 86492852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167924219904).

86492852160 is an abundant number, since it is smaller than the sum of its proper divisors (249355587648).

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

86492852160 is a wasteful number, since it uses less digits than its factorization.

86492852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 86492852160 in words is "eighty-six billion, four hundred ninety-two million, eight hundred fifty-two thousand, one hundred sixty".