12865982976 has 960 divisors, whose sum is σ = 51476705280. Its totient is φ = 3105423360.

The previous prime is 12865982957. The next prime is 12865983017. The reversal of 12865982976 is 67928956821.

12865982976 is a `hidden beast` number, since 12 + 8 + 6 + 598 + 29 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162860505 + ... + 162860583.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^12865982976 is an apocalyptic number.

12865982976 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 12865982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738352640).

12865982976 is an abundant number, since it is smaller than the sum of its proper divisors (38610722304).

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

12865982976 is an equidigital number, since it uses as much as digits as its factorization.

12865982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 12865982976 in words is "twelve billion, eight hundred sixty-five million, nine hundred eighty-two thousand, nine hundred seventy-six".