985125980160 has 432 divisors, whose sum is σ = 3971719615500. Its totient is φ = 225170620416.

The previous prime is 985125980147. The next prime is 985125980177. The reversal of 985125980160 is 61089521589.

It can be written as a sum of positive squares in 2 ways, for example, as 919573595136 + 65552385024 = 958944^2 + 256032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 985125980097 and 985125980106.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4406766 + ... + 4624914.

Almost surely, 2^985125980160 is an apocalyptic number.

985125980160 is a gapful number since it is divisible by the number (90) 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 985125980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985859807750).

985125980160 is an abundant number, since it is smaller than the sum of its proper divisors (2986593635340).

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

985125980160 is a wasteful number, since it uses less digits than its factorization.

985125980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218196 (or 218166 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 985125980160 in words is "nine hundred eighty-five billion, one hundred twenty-five million, nine hundred eighty thousand, one hundred sixty".