85299458560 has 320 divisors, whose sum is σ = 217786060800. Its totient is φ = 31993823232.

The previous prime is 85299458537. The next prime is 85299458597. The reversal of 85299458560 is 6585499258.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671649217 + ... + 671649343.

It is an arithmetic number, because the mean of its divisors is an integer number (680581440).

Almost surely, 2^85299458560 is an apocalyptic number.

85299458560 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 85299458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

85299458560 is an abundant number, since it is smaller than the sum of its proper divisors (132486602240).

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

85299458560 is a wasteful number, since it uses less digits than its factorization.

85299458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 61.

The spelling of 85299458560 in words is "eighty-five billion, two hundred ninety-nine million, four hundred fifty-eight thousand, five hundred sixty".