989872518400 has 432 divisors, whose sum is σ = 2757854736000. Its totient is φ = 349541498880.

The previous prime is 989872518379. The next prime is 989872518403. The reversal of 989872518400 is 4815278989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989872518403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212919276 + ... + 212923924.

It is an arithmetic number, because the mean of its divisors is an integer number (6383923000).

Almost surely, 2^989872518400 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 989872518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378927368000).

989872518400 is an abundant number, since it is smaller than the sum of its proper divisors (1767982217600).

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

989872518400 is a wasteful number, since it uses less digits than its factorization.

989872518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 61.

The spelling of 989872518400 in words is "nine hundred eighty-nine billion, eight hundred seventy-two million, five hundred eighteen thousand, four hundred".