12982394880 has 1120 divisors, whose sum is σ = 58613917824. Its totient is φ = 2675441664.

The previous prime is 12982394839. The next prime is 12982394897. The reversal of 12982394880 is 8849328921.

12982394880 is a `hidden beast` number, since 1 + 298 + 239 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-5 number, since 5×12982394880⁵ (a number of 52 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301916139 + ... + 301916181.

Almost surely, 2^12982394880 is an apocalyptic number.

12982394880 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 12982394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29306958912).

12982394880 is an abundant number, since it is smaller than the sum of its proper divisors (45631522944).

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

12982394880 is an equidigital number, since it uses as much as digits as its factorization.

12982394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 12982394880 in words is "twelve billion, nine hundred eighty-two million, three hundred ninety-four thousand, eight hundred eighty".