990956410560 has 784 divisors, whose sum is σ = 3644674919424. Its totient is φ = 256372107264.

The previous prime is 990956410471. The next prime is 990956410573. The reversal of 990956410560 is 65014659099.

990956410560 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 5 + 64 + 10 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 990956410497 and 990956410506.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2236921699 + ... + 2236922141.

Almost surely, 2^990956410560 is an apocalyptic number.

990956410560 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 990956410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822337459712).

990956410560 is an abundant number, since it is smaller than the sum of its proper divisors (2653718508864).

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

990956410560 is a wasteful number, since it uses less digits than its factorization.

990956410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 990956410560 in words is "nine hundred ninety billion, nine hundred fifty-six million, four hundred ten thousand, five hundred sixty".