85071313920 has 176 divisors, whose sum is σ = 275931145728. Its totient is φ = 22365880320.

The previous prime is 85071313913. The next prime is 85071313931. The reversal of 85071313920 is 2931317058.

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, 1051557 + ... + 1129563.

Almost surely, 2^85071313920 is an apocalyptic number.

85071313920 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 85071313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137965572864).

85071313920 is an abundant number, since it is smaller than the sum of its proper divisors (190859831808).

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

85071313920 is a wasteful number, since it uses less digits than its factorization.

85071313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78106 (or 78088 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 85071313920 in words is "eighty-five billion, seventy-one million, three hundred thirteen thousand, nine hundred twenty".