12557991168 has 432 divisors, whose sum is σ = 40069725696. Its totient is φ = 3914127360.

The previous prime is 12557991167. The next prime is 12557991181. The reversal of 12557991168 is 86119975521.

It is a happy number.

12557991168 is a `hidden beast` number, since 1 + 2 + 5 + 579 + 9 + 1 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) 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 (54).

Its product of digits (1360800) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557991167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95862463 + ... + 95862593.

Almost surely, 2^12557991168 is an apocalyptic number.

12557991168 is a gapful number since it is divisible by the number (18) 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 12557991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034862848).

12557991168 is an abundant number, since it is smaller than the sum of its proper divisors (27511734528).

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

12557991168 is an equidigital number, since it uses as much as digits as its factorization.

12557991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 54.

The spelling of 12557991168 in words is "twelve billion, five hundred fifty-seven million, nine hundred ninety-one thousand, one hundred sixty-eight".