990126489600 has 540 divisors, whose sum is σ = 3561732662124. Its totient is φ = 262919946240.

The previous prime is 990126489589. The next prime is 990126489623. The reversal of 990126489600 is 6984621099.

990126489600 is a `hidden beast` number, since 9 + 9 + 0 + 1 + 26 + 4 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70000459776 + 920126029824 = 264576^2 + 959232^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1242316402 + ... + 1242317198.

Almost surely, 2^990126489600 is an apocalyptic number.

990126489600 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 990126489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780866331062).

990126489600 is an abundant number, since it is smaller than the sum of its proper divisors (2571606172524).

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

990126489600 is a wasteful number, since it uses less digits than its factorization.

990126489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 990126489600 in words is "nine hundred ninety billion, one hundred twenty-six million, four hundred eighty-nine thousand, six hundred".