85979749632 has 432 divisors, whose sum is σ = 279418070400. Its totient is φ = 23459487744.

The previous prime is 85979749573. The next prime is 85979749643. The reversal of 85979749632 is 23694797958.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139350988 + ... + 139351604.

Almost surely, 2^85979749632 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 85979749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139709035200).

85979749632 is an abundant number, since it is smaller than the sum of its proper divisors (193438320768).

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

85979749632 is an equidigital number, since it uses as much as digits as its factorization.

85979749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 652 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The spelling of 85979749632 in words is "eighty-five billion, nine hundred seventy-nine million, seven hundred forty-nine thousand, six hundred thirty-two".