12957038640 has 1200 divisors, whose sum is σ = 58477069728. Its totient is φ = 2633637888.

The previous prime is 12957038629. The next prime is 12957038641. The reversal of 12957038640 is 4683075921.

12957038640 is a `hidden beast` number, since 1 + 2 + 9 + 570 + 38 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12957038641) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177493644 + ... + 177493716.

It is a 1-persistent number, because it is pandigital, but 2⋅12957038640 = 25914077280 is not.

Almost surely, 2^12957038640 is an apocalyptic number.

12957038640 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 12957038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29238534864).

12957038640 is an abundant number, since it is smaller than the sum of its proper divisors (45520031088).

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

12957038640 is a wasteful number, since it uses less digits than its factorization.

12957038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12957038640 in words is "twelve billion, nine hundred fifty-seven million, thirty-eight thousand, six hundred forty".