85301314560 has 1056 divisors, whose sum is σ = 381665606400. Its totient is φ = 17093099520.

The previous prime is 85301314559. The next prime is 85301314577. The reversal of 85301314560 is 6541310358.

85301314560 is a `hidden beast` number, since 85 + 3 + 0 + 1 + 3 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102896226 + ... + 102897054.

Almost surely, 2^85301314560 is an apocalyptic number.

85301314560 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 85301314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190832803200).

85301314560 is an abundant number, since it is smaller than the sum of its proper divisors (296364291840).

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

85301314560 is a wasteful number, since it uses less digits than its factorization.

85301314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 85301314560 in words is "eighty-five billion, three hundred one million, three hundred fourteen thousand, five hundred sixty".