10982216520 has 480 divisors, whose sum is σ = 41104740600. Its totient is φ = 2627665920.

The previous prime is 10982216477. The next prime is 10982216527. The reversal of 10982216520 is 2561228901.

10982216520 is a `hidden beast` number, since 10 + 98 + 22 + 16 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10970886564 + 11329956 = 104742^2 + 3366^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10982216527) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42732232 + ... + 42732488.

Almost surely, 2^10982216520 is an apocalyptic number.

10982216520 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 10982216520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552370300).

10982216520 is an abundant number, since it is smaller than the sum of its proper divisors (30122524080).

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

10982216520 is a wasteful number, since it uses less digits than its factorization.

10982216520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10982216520 in words is "ten billion, nine hundred eighty-two million, two hundred sixteen thousand, five hundred twenty".