10982716416 has 132 divisors (see below), whose sum is σ = 36242904672. Its totient is φ = 3137900544.

The previous prime is 10982716379. The next prime is 10982716421. The reversal of 10982716416 is 61461728901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20610 + ... + 149633.

Almost surely, 2^10982716416 is an apocalyptic number.

10982716416 is a gapful number since it is divisible by the number (16) 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 10982716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121452336).

10982716416 is an abundant number, since it is smaller than the sum of its proper divisors (25260188256).

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

10982716416 is a wasteful number, since it uses less digits than its factorization.

10982716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170276 (or 170255 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10982716416 in words is "ten billion, nine hundred eighty-two million, seven hundred sixteen thousand, four hundred sixteen".