85999597824 has 576 divisors, whose sum is σ = 285564787200. Its totient is φ = 22422749184.

The previous prime is 85999597777. The next prime is 85999597889. The reversal of 85999597824 is 42879599958.

Its product of digits (587865600) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788987082 + ... + 788987190.

It is an arithmetic number, because the mean of its divisors is an integer number (495772200).

Almost surely, 2^85999597824 is an apocalyptic number.

85999597824 is a gapful number since it is divisible by the number (84) 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 85999597824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142782393600).

85999597824 is an abundant number, since it is smaller than the sum of its proper divisors (199565189376).

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

85999597824 is a wasteful number, since it uses less digits than its factorization.

85999597824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 75.

The spelling of 85999597824 in words is "eighty-five billion, nine hundred ninety-nine million, five hundred ninety-seven thousand, eight hundred twenty-four".