12959254167552 has 2160 divisors, whose sum is σ = 50515971666720. Its totient is φ = 3310859059200.

The previous prime is 12959254167551. The next prime is 12959254167647. The reversal of 12959254167552 is 25576145295921.

12959254167552 is a `hidden beast` number, since 1 + 2 + 9 + 59 + 25 + 4 + 1 + 6 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (68040000) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 12959254167552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12959254167551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212446789602 + ... + 212446789662.

Almost surely, 2^{12959254167552} is an apocalyptic number.

12959254167552 is a gapful number since it is divisible by the number (12) 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 12959254167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257985833360).

12959254167552 is an abundant number, since it is smaller than the sum of its proper divisors (37556717499168).

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

12959254167552 is an frugal number, since it uses more digits than its factorization.

12959254167552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 84 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 63.

The spelling of 12959254167552 in words is "twelve trillion, nine hundred fifty-nine billion, two hundred fifty-four million, one hundred sixty-seven thousand, five hundred fifty-two".