85688538880 has 144 divisors (see below), whose sum is σ = 234787412160. Its totient is φ = 29352001536.

The previous prime is 85688538877. The next prime is 85688538889. The reversal of 85688538880 is 8883588658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85688538889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11438176 + ... + 11445664.

It is an arithmetic number, because the mean of its divisors is an integer number (1630468140).

Almost surely, 2^85688538880 is an apocalyptic number.

85688538880 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 85688538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117393706080).

85688538880 is an abundant number, since it is smaller than the sum of its proper divisors (149098873280).

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

85688538880 is a wasteful number, since it uses less digits than its factorization.

85688538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8794 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 67.

The spelling of 85688538880 in words is "eighty-five billion, six hundred eighty-eight million, five hundred thirty-eight thousand, eight hundred eighty".