985274039520 has 288 divisors, whose sum is σ = 3481060302720. Its totient is φ = 253470228480.

The previous prime is 985274039483. The next prime is 985274039569. The reversal of 985274039520 is 25930472589.

985274039520 is a `hidden beast` number, since 9 + 8 + 527 + 4 + 0 + 3 + 95 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54153625 + ... + 54171815.

It is an arithmetic number, because the mean of its divisors is an integer number (12087014940).

Almost surely, 2^985274039520 is an apocalyptic number.

985274039520 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 985274039520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740530151360).

985274039520 is an abundant number, since it is smaller than the sum of its proper divisors (2495786263200).

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

985274039520 is a wasteful number, since it uses less digits than its factorization.

985274039520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19538 (or 19527 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 985274039520 in words is "nine hundred eighty-five billion, two hundred seventy-four million, thirty-nine thousand, five hundred twenty".