985615000320 has 576 divisors, whose sum is σ = 3427270164864. Its totient is φ = 240459448320.

The previous prime is 985615000309. The next prime is 985615000367. The reversal of 985615000320 is 23000516589.

985615000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390960660 + ... + 390963180.

It is an arithmetic number, because the mean of its divisors is an integer number (5950121814).

Almost surely, 2^985615000320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985615000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713635082432).

985615000320 is an abundant number, since it is smaller than the sum of its proper divisors (2441655164544).

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

985615000320 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (985615000319) it forms an eRAP, since the sums of their prime factors are consecutive (2727 and 2728).

985615000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 985615000320 in words is "nine hundred eighty-five billion, six hundred fifteen million, three hundred twenty", and thus it is an aban number.