10983417280 has 112 divisors (see below), whose sum is σ = 28750930560. Its totient is φ = 3963315200.

The previous prime is 10983417259. The next prime is 10983417299. The reversal of 10983417280 is 8271438901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449211 + ... + 473029.

Almost surely, 2^10983417280 is an apocalyptic number.

10983417280 is a gapful number since it is divisible by the number (10) 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 10983417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375465280).

10983417280 is an abundant number, since it is smaller than the sum of its proper divisors (17767513280).

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

10983417280 is a wasteful number, since it uses less digits than its factorization.

10983417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23978 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 10983417280 in words is "ten billion, nine hundred eighty-three million, four hundred seventeen thousand, two hundred eighty".