990546003288000 has 336 divisors, whose sum is σ = 3543421059122880. Its totient is φ = 264140165376000.

The previous prime is 990546003287941. The next prime is 990546003288067. The reversal of 990546003288000 is 882300645099.

990546003288000 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 4 + 600 + 3 + 28 + 8 + 0 + 0 + 0 = 666.

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, 4486281606 + ... + 4486502394.

Almost surely, 2^{990546003288000} is an apocalyptic number.

990546003288000 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 990546003288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771710529561440).

990546003288000 is an abundant number, since it is smaller than the sum of its proper divisors (2552875055834880).

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

990546003288000 is a wasteful number, since it uses less digits than its factorization.

990546003288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283133 (or 283110 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 990546003288000 in words is "nine hundred ninety trillion, five hundred forty-six billion, three million, two hundred eighty-eight thousand".