2575126931328 has 768 divisors, whose sum is σ = 9325888266240. Its totient is φ = 665091440640.

The previous prime is 2575126931263. The next prime is 2575126931521. The reversal of 2575126931328 is 8231396215752.

2575126931328 is a `hidden beast` number, since 2 + 5 + 7 + 51 + 269 + 3 + 1 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582210525 + ... + 582214947.

It is an arithmetic number, because the mean of its divisors is an integer number (12143083680).

Almost surely, 2^{2575126931328} is an apocalyptic number.

2575126931328 is a gapful number since it is divisible by the number (28) 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 2575126931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662944133120).

2575126931328 is an abundant number, since it is smaller than the sum of its proper divisors (6750761334912).

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

2575126931328 is a wasteful number, since it uses less digits than its factorization.

2575126931328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4620 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 2575126931328 in words is "two trillion, five hundred seventy-five billion, one hundred twenty-six million, nine hundred thirty-one thousand, three hundred twenty-eight".