990493775989200 has 720 divisors, whose sum is σ = 3974844068911872. Its totient is φ = 223726464000000.

The previous prime is 990493775989189. The next prime is 990493775989229. The reversal of 990493775989200 is 2989577394099.

990493775989200 is a `hidden beast` number, since 9 + 9 + 0 + 493 + 77 + 59 + 8 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 990493775989200.

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, 1325675725 + ... + 1326422675.

Almost surely, 2^{990493775989200} is an apocalyptic number.

990493775989200 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 990493775989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987422034455936).

990493775989200 is an abundant number, since it is smaller than the sum of its proper divisors (2984350292922672).

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

990493775989200 is a wasteful number, since it uses less digits than its factorization.

990493775989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747604 (or 747590 counting only the distinct ones).

The product of its (nonzero) digits is 2777664960, while the sum is 81.

The spelling of 990493775989200 in words is "nine hundred ninety trillion, four hundred ninety-three billion, seven hundred seventy-five million, nine hundred eighty-nine thousand, two hundred".