12572126258328 has 672 divisors, whose sum is σ = 44343917976960. Its totient is φ = 3310623912960.

The previous prime is 12572126258323. The next prime is 12572126258383. The reversal of 12572126258328 is 82385262127521.

12572126258328 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 1 + 2 + 625 + 8 + 3 + 2 + 8 = 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 (12572126258323) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 2827100601 + ... + 2827105047.

It is an arithmetic number, because the mean of its divisors is an integer number (65987973180).

Almost surely, 2^{12572126258328} is an apocalyptic number.

12572126258328 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 12572126258328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171958988480).

12572126258328 is an abundant number, since it is smaller than the sum of its proper divisors (31771791718632).

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

12572126258328 is a wasteful number, since it uses less digits than its factorization.

12572126258328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5233 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 12572126258328 in words is "twelve trillion, five hundred seventy-two billion, one hundred twenty-six million, two hundred fifty-eight thousand, three hundred twenty-eight".