85611506560 has 128 divisors (see below), whose sum is σ = 210063002400. Its totient is φ = 33352974336.

The previous prime is 85611506551. The next prime is 85611506597. The reversal of 85611506560 is 6560511658.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805104 + ... + 3827536.

Almost surely, 2^85611506560 is an apocalyptic number.

85611506560 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 85611506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105031501200).

85611506560 is an abundant number, since it is smaller than the sum of its proper divisors (124451495840).

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

85611506560 is a wasteful number, since it uses less digits than its factorization.

85611506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22608 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The spelling of 85611506560 in words is "eighty-five billion, six hundred eleven million, five hundred six thousand, five hundred sixty".