12957638480640 has 720 divisors, whose sum is σ = 53112005905728. Its totient is φ = 2954834214912.

The previous prime is 12957638480629. The next prime is 12957638480693. The reversal of 12957638480640 is 4608483675921.

12957638480640 is a `hidden beast` number, since 1 + 2 + 9 + 57 + 63 + 8 + 480 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

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, 314233464 + ... + 314274696.

It is a 1-persistent number, because it is pandigital, but 2⋅12957638480640 = 25915276961280 is not.

Almost surely, 2^{12957638480640} is an apocalyptic number.

12957638480640 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 12957638480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26556002952864).

12957638480640 is an abundant number, since it is smaller than the sum of its proper divisors (40154367425088).

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

12957638480640 is an equidigital number, since it uses as much as digits as its factorization.

12957638480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41706 (or 41683 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 12957638480640 in words is "twelve trillion, nine hundred fifty-seven billion, six hundred thirty-eight million, four hundred eighty thousand, six hundred forty".