10982446272 has 504 divisors, whose sum is σ = 39733890560. Its totient is φ = 2832952320.

The previous prime is 10982446219. The next prime is 10982446289. The reversal of 10982446272 is 27264428901.

10982446272 is a `hidden beast` number, since 10 + 9 + 8 + 2 + 4 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10982446272² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40525497 + ... + 40525767.

Almost surely, 2^10982446272 is an apocalyptic number.

10982446272 is a gapful number since it is divisible by the number (12) 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 10982446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866945280).

10982446272 is an abundant number, since it is smaller than the sum of its proper divisors (28751444288).

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

10982446272 is a wasteful number, since it uses less digits than its factorization.

10982446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10982446272 in words is "ten billion, nine hundred eighty-two million, four hundred forty-six thousand, two hundred seventy-two".