10983009024 has 324 divisors, whose sum is σ = 35482867056. Its totient is φ = 3372668928.

The previous prime is 10983009019. The next prime is 10983009041. The reversal of 10983009024 is 42090038901.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10983009024.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21834757 + ... + 21835259.

Almost surely, 2^10983009024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10983009024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17741433528).

10983009024 is an abundant number, since it is smaller than the sum of its proper divisors (24499858032).

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

10983009024 is an frugal number, since it uses more digits than its factorization.

10983009024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10983009024 in words is "ten billion, nine hundred eighty-three million, nine thousand, twenty-four".