12522057807168 has 896 divisors, whose sum is σ = 45875813760000. Its totient is φ = 3261291724800.

The previous prime is 12522057807151. The next prime is 12522057807169. The reversal of 12522057807168 is 86170875022521.

It is a happy number.

12522057807168 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 2 + 0 + 578 + 0 + 7 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522057807169) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8083961658 + ... + 8083963206.

It is an arithmetic number, because the mean of its divisors is an integer number (51200685000).

Almost surely, 2^{12522057807168} is an apocalyptic number.

12522057807168 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 12522057807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937906880000).

12522057807168 is an abundant number, since it is smaller than the sum of its proper divisors (33353755952832).

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

12522057807168 is a wasteful number, since it uses less digits than its factorization.

12522057807168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 12522057807168 in words is "twelve trillion, five hundred twenty-two billion, fifty-seven million, eight hundred seven thousand, one hundred sixty-eight".