85994372160 has 336 divisors, whose sum is σ = 320475108096. Its totient is φ = 21080457216.

The previous prime is 85994372131. The next prime is 85994372179. The reversal of 85994372160 is 6127349958.

85994372160 is a `hidden beast` number, since 8 + 599 + 4 + 37 + 2 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85994372097 and 85994372106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2084857 + ... + 2125703.

It is a 1-persistent number, because it is pandigital, but 2⋅85994372160 = 171988744320 is not.

Almost surely, 2^85994372160 is an apocalyptic number.

85994372160 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 85994372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160237554048).

85994372160 is an abundant number, since it is smaller than the sum of its proper divisors (234480735936).

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

85994372160 is a wasteful number, since it uses less digits than its factorization.

85994372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40930 (or 40917 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 85994372160 in words is "eighty-five billion, nine hundred ninety-four million, three hundred seventy-two thousand, one hundred sixty".