990553536000 has 1440 divisors, whose sum is σ = 4246646893632. Its totient is φ = 225740390400.

The previous prime is 990553535999. The next prime is 990553536029. The reversal of 990553536000 is 635355099.

It is a happy number.

990553536000 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 5 + 35 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2939327832 + ... + 2939328168.

Almost surely, 2^990553536000 is an apocalyptic number.

990553536000 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 990553536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123323446816).

990553536000 is an abundant number, since it is smaller than the sum of its proper divisors (3256093357632).

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

990553536000 is an frugal number, since it uses more digits than its factorization.

990553536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The spelling of 990553536000 in words is "nine hundred ninety billion, five hundred fifty-three million, five hundred thirty-six thousand".