85559726208 has 256 divisors, whose sum is σ = 267063091200. Its totient is φ = 23999078400.

The previous prime is 85559726191. The next prime is 85559726249. The reversal of 85559726208 is 80262795558.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997508 + ... + 3025916.

It is an arithmetic number, because the mean of its divisors is an integer number (1043215200).

Almost surely, 2^85559726208 is an apocalyptic number.

85559726208 is a gapful number since it is divisible by the number (88) 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 85559726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133531545600).

85559726208 is an abundant number, since it is smaller than the sum of its proper divisors (181503364992).

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

85559726208 is a wasteful number, since it uses less digits than its factorization.

85559726208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28491 (or 28479 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 85559726208 in words is "eighty-five billion, five hundred fifty-nine million, seven hundred twenty-six thousand, two hundred eight".