85596994560 has 880 divisors, whose sum is σ = 350073551232. Its totient is φ = 17702092800.

The previous prime is 85596994547. The next prime is 85596994579. The reversal of 85596994560 is 6549969558.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 85596994491 and 85596994500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 405672855 + ... + 405673065.

Almost surely, 2^85596994560 is an apocalyptic number.

85596994560 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 85596994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175036775616).

85596994560 is an abundant number, since it is smaller than the sum of its proper divisors (264476556672).

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

85596994560 is a wasteful number, since it uses less digits than its factorization.

85596994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 66.

The spelling of 85596994560 in words is "eighty-five billion, five hundred ninety-six million, nine hundred ninety-four thousand, five hundred sixty".