2575251263400 has 192 divisors, whose sum is σ = 8243053363200. Its totient is φ = 664399584000.

The previous prime is 2575251263383. The next prime is 2575251263411. The reversal of 2575251263400 is 43621525752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76447761 + ... + 76481439.

It is an arithmetic number, because the mean of its divisors is an integer number (42932569600).

Almost surely, 2^{2575251263400} is an apocalyptic number.

2575251263400 is a gapful number since it is divisible by the number (20) 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 2575251263400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121526681600).

2575251263400 is an abundant number, since it is smaller than the sum of its proper divisors (5667802099800).

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

2575251263400 is a wasteful number, since it uses less digits than its factorization.

2575251263400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37840 (or 37831 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 2575251263400 in words is "two trillion, five hundred seventy-five billion, two hundred fifty-one million, two hundred sixty-three thousand, four hundred".