85270815600 has 120 divisors (see below), whose sum is σ = 273299589552. Its totient is φ = 22726502400.

The previous prime is 85270815587. The next prime is 85270815653. The reversal of 85270815600 is 651807258.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×85270815600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2301220 + ... + 2337980.

Almost surely, 2^85270815600 is an apocalyptic number.

85270815600 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 85270815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136649794776).

85270815600 is an abundant number, since it is smaller than the sum of its proper divisors (188028773952).

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

85270815600 is a wasteful number, since it uses less digits than its factorization.

85270815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38715 (or 38704 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 85270815600 in words is "eighty-five billion, two hundred seventy million, eight hundred fifteen thousand, six hundred".