985204588032 has 320 divisors, whose sum is σ = 3389393779200. Its totient is φ = 276714455040.

The previous prime is 985204588019. The next prime is 985204588033. The reversal of 985204588032 is 230885402589.

It is a happy number.

985204588032 is a `hidden beast` number, since 9 + 8 + 5 + 20 + 4 + 588 + 0 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 985204588032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985204588033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5623032 + ... + 5795592.

It is an arithmetic number, because the mean of its divisors is an integer number (10591855560).

Almost surely, 2^985204588032 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 985204588032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694696889600).

985204588032 is an abundant number, since it is smaller than the sum of its proper divisors (2404189191168).

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

985204588032 is a wasteful number, since it uses less digits than its factorization.

985204588032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172654 (or 172632 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 985204588032 in words is "nine hundred eighty-five billion, two hundred four million, five hundred eighty-eight thousand, thirty-two".