12957777143520 has 384 divisors, whose sum is σ = 44879078619648. Its totient is φ = 3116583321600.

The previous prime is 12957777143497. The next prime is 12957777143593. The reversal of 12957777143520 is 2534177775921.

It is a happy number.

It is a super-2 number, since 2×12957777143520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 345678699 + ... + 345716181.

It is an arithmetic number, because the mean of its divisors is an integer number (116872600572).

Almost surely, 2^{12957777143520} is an apocalyptic number.

12957777143520 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 12957777143520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439539309824).

12957777143520 is an abundant number, since it is smaller than the sum of its proper divisors (31921301476128).

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

12957777143520 is a wasteful number, since it uses less digits than its factorization.

12957777143520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38026 (or 38018 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 60.

The spelling of 12957777143520 in words is "twelve trillion, nine hundred fifty-seven billion, seven hundred seventy-seven million, one hundred forty-three thousand, five hundred twenty".