25750347270400 has 243 divisors, whose sum is σ = 64343726738571. Its totient is φ = 10202871275520.

The previous prime is 25750347270283. The next prime is 25750347270407. The reversal of 25750347270400 is 407274305752.

The square root of 25750347270400 is 5074480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75128617216 + 25675218653184 = 274096^2 + 5067072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25750347270407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55616300569 + ... + 55616301031.

Almost surely, 2^{25750347270400} is an apocalyptic number.

25750347270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25750347270400 is the 5074480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25750347270400

25750347270400 is an abundant number, since it is smaller than the sum of its proper divisors (38593379468171).

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

25750347270400 is an frugal number, since it uses more digits than its factorization.

25750347270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 46.

The spelling of 25750347270400 in words is "twenty-five trillion, seven hundred fifty billion, three hundred forty-seven million, two hundred seventy thousand, four hundred".