85097589120 has 768 divisors, whose sum is σ = 331478784000. Its totient is φ = 20782448640.

The previous prime is 85097589079. The next prime is 85097589133. The reversal of 85097589120 is 2198579058.

85097589120 is a `hidden beast` number, since 8 + 50 + 9 + 7 + 589 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 91600816 + ... + 91601744.

It is an arithmetic number, because the mean of its divisors is an integer number (431613000).

Almost surely, 2^85097589120 is an apocalyptic number.

85097589120 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 85097589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392000).

85097589120 is an abundant number, since it is smaller than the sum of its proper divisors (246381194880).

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

85097589120 is a wasteful number, since it uses less digits than its factorization.

85097589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 85097589120 in words is "eighty-five billion, ninety-seven million, five hundred eighty-nine thousand, one hundred twenty".