85995395579520 has 384 divisors, whose sum is σ = 340869765075840. Its totient is φ = 19569497628672.

The previous prime is 85995395579491. The next prime is 85995395579579. The reversal of 85995395579520 is 2597559359958.

85995395579520 is a `hidden beast` number, since 8 + 5 + 9 + 9 + 5 + 3 + 9 + 557 + 9 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 85995395579520.

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, 4454794 + ... + 13850486.

It is an arithmetic number, because the mean of its divisors is an integer number (887681679885).

Almost surely, 2^{85995395579520} is an apocalyptic number.

85995395579520 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 85995395579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170434882537920).

85995395579520 is an abundant number, since it is smaller than the sum of its proper divisors (254874369496320).

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

85995395579520 is a wasteful number, since it uses less digits than its factorization.

85995395579520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395952 (or 9395937 counting only the distinct ones).

The product of its (nonzero) digits is 6889050000, while the sum is 81.

The spelling of 85995395579520 in words is "eighty-five trillion, nine hundred ninety-five billion, three hundred ninety-five million, five hundred seventy-nine thousand, five hundred twenty".