85979824320 has 672 divisors, whose sum is σ = 311189485824. Its totient is φ = 19987292160.

The previous prime is 85979824319. The next prime is 85979824331. The reversal of 85979824320 is 2342897958.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803549707 + ... + 803549813.

It is an arithmetic number, because the mean of its divisors is an integer number (463079592).

Almost surely, 2^85979824320 is an apocalyptic number.

85979824320 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 85979824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155594742912).

85979824320 is an abundant number, since it is smaller than the sum of its proper divisors (225209661504).

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

85979824320 is a wasteful number, since it uses less digits than its factorization.

85979824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 85979824320 in words is "eighty-five billion, nine hundred seventy-nine million, eight hundred twenty-four thousand, three hundred twenty".