16982580132 has 216 divisors, whose sum is σ = 51815059296. Its totient is φ = 4672878336.

The previous prime is 16982580103. The next prime is 16982580163. The reversal of 16982580132 is 23108528961.

16982580132 is a `hidden beast` number, since 1 + 69 + 8 + 2 + 580 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×16982580132² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 5535663 + ... + 5538729.

Almost surely, 2^16982580132 is an apocalyptic number.

16982580132 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 16982580132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25907529648).

16982580132 is an abundant number, since it is smaller than the sum of its proper divisors (34832479164).

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

16982580132 is a wasteful number, since it uses less digits than its factorization.

16982580132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 16982580132 in words is "sixteen billion, nine hundred eighty-two million, five hundred eighty thousand, one hundred thirty-two".