12957764400000 has 3840 divisors, whose sum is σ = 60471929548800. Its totient is φ = 2687385600000.

The previous prime is 12957764399927. The next prime is 12957764400017. The reversal of 12957764400000 is 446775921.

12957764400000 is a `hidden beast` number, since 12 + 9 + 577 + 64 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 133585199952 + ... + 133585200048.

It is an arithmetic number, because the mean of its divisors is an integer number (15747898320).

Almost surely, 2^{12957764400000} is an apocalyptic number.

12957764400000 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 12957764400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30235964774400).

12957764400000 is an abundant number, since it is smaller than the sum of its proper divisors (47514165148800).

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

12957764400000 is an frugal number, since it uses more digits than its factorization.

12957764400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12957764400000 in words is "twelve trillion, nine hundred fifty-seven billion, seven hundred sixty-four million, four hundred thousand".