85999431672 has 256 divisors, whose sum is σ = 298468454400. Its totient is φ = 22289904000.

The previous prime is 85999431619. The next prime is 85999431677. The reversal of 85999431672 is 27613499958.

85999431672 is a `hidden beast` number, since 8 + 59 + 99 + 431 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85999431677) 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, 8161047 + ... + 8171577.

It is an arithmetic number, because the mean of its divisors is an integer number (1165892400).

Almost surely, 2^85999431672 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 85999431672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149234227200).

85999431672 is an abundant number, since it is smaller than the sum of its proper divisors (212469022728).

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

85999431672 is a wasteful number, since it uses less digits than its factorization.

85999431672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055 (or 11045 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 85999431672 in words is "eighty-five billion, nine hundred ninety-nine million, four hundred thirty-one thousand, six hundred seventy-two".