12957998976 has 320 divisors, whose sum is σ = 41911457280. Its totient is φ = 3950456832.

The previous prime is 12957998971. The next prime is 12957998983. The reversal of 12957998976 is 67989975921.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12957998971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17117190 + ... + 17117946.

It is an arithmetic number, because the mean of its divisors is an integer number (130973304).

Almost surely, 2^12957998976 is an apocalyptic number.

12957998976 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 12957998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20955728640).

12957998976 is an abundant number, since it is smaller than the sum of its proper divisors (28953458304).

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

12957998976 is a wasteful number, since it uses less digits than its factorization.

12957998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

The spelling of 12957998976 in words is "twelve billion, nine hundred fifty-seven million, nine hundred ninety-eight thousand, nine hundred seventy-six".