12957178055536 has 320 divisors, whose sum is σ = 31009405271040. Its totient is φ = 5160849408000.

The previous prime is 12957178055509. The next prime is 12957178055561. The reversal of 12957178055536 is 63555087175921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6226418016 + ... + 6226420096.

It is an arithmetic number, because the mean of its divisors is an integer number (96904391472).

Almost surely, 2^{12957178055536} is an apocalyptic number.

12957178055536 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 12957178055536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504702635520).

12957178055536 is an abundant number, since it is smaller than the sum of its proper divisors (18052227215504).

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

12957178055536 is a wasteful number, since it uses less digits than its factorization.

12957178055536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 64.

The spelling of 12957178055536 in words is "twelve trillion, nine hundred fifty-seven billion, one hundred seventy-eight million, fifty-five thousand, five hundred thirty-six".