12957397632 has 320 divisors, whose sum is σ = 40052258400. Its totient is φ = 4172166144.

The previous prime is 12957397597. The next prime is 12957397633. The reversal of 12957397632 is 23679375921.

12957397632 is a `hidden beast` number, since 1 + 2 + 9 + 573 + 9 + 7 + 63 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12957397633) 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, 93218619 + ... + 93218757.

Almost surely, 2^12957397632 is an apocalyptic number.

12957397632 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 12957397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20026129200).

12957397632 is an abundant number, since it is smaller than the sum of its proper divisors (27094860768).

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

12957397632 is an frugal number, since it uses more digits than its factorization.

12957397632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 12957397632 in words is "twelve billion, nine hundred fifty-seven million, three hundred ninety-seven thousand, six hundred thirty-two".