990974581800 has 288 divisors, whose sum is σ = 3564132505920. Its totient is φ = 223123507200.

The previous prime is 990974581757. The next prime is 990974581813. The reversal of 990974581800 is 8185479099.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18827520 + ... + 18880080.

It is an arithmetic number, because the mean of its divisors is an integer number (12375460090).

Almost surely, 2^990974581800 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 990974581800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782066252960).

990974581800 is an abundant number, since it is smaller than the sum of its proper divisors (2573157924120).

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

990974581800 is a wasteful number, since it uses less digits than its factorization.

990974581800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52721 (or 52645 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 990974581800 in words is "nine hundred ninety billion, nine hundred seventy-four million, five hundred eighty-one thousand, eight hundred".