990838573056 has 576 divisors, whose sum is σ = 3051944663040. Its totient is φ = 321052999680.

The previous prime is 990838573033. The next prime is 990838573069. The reversal of 990838573056 is 650375838099.

990838573056 is a `hidden beast` number, since 9 + 9 + 0 + 8 + 3 + 8 + 573 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×990838573056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 990838572984 and 990838573002.

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, 3855402880 + ... + 3855403136.

It is an arithmetic number, because the mean of its divisors is an integer number (5298515040).

Almost surely, 2^990838573056 is an apocalyptic number.

990838573056 is a gapful number since it is divisible by the number (96) 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 990838573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525972331520).

990838573056 is an abundant number, since it is smaller than the sum of its proper divisors (2061106089984).

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

990838573056 is a wasteful number, since it uses less digits than its factorization.

990838573056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 990838573056 in words is "nine hundred ninety billion, eight hundred thirty-eight million, five hundred seventy-three thousand, fifty-six".