85658314560 has 448 divisors, whose sum is σ = 340420147200. Its totient is φ = 17765572608.

The previous prime is 85658314543. The next prime is 85658314589. The reversal of 85658314560 is 6541385658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 5145931 + ... + 5162549.

It is an arithmetic number, because the mean of its divisors is an integer number (759866400).

Almost surely, 2^85658314560 is an apocalyptic number.

85658314560 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 85658314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170210073600).

85658314560 is an abundant number, since it is smaller than the sum of its proper divisors (254761832640).

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

85658314560 is a wasteful number, since it uses less digits than its factorization.

85658314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 85658314560 in words is "eighty-five billion, six hundred fifty-eight million, three hundred fourteen thousand, five hundred sixty".