25607445744400 has 135 divisors (see below), whose sum is σ = 66621799194879. Its totient is φ = 9454571093760.

The previous prime is 25607445744373. The next prime is 25607445744401. The reversal of 25607445744400 is 444754470652.

The square root of 25607445744400 is 5060380.

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 6600357021456 + 19007088722944 = 2569116^2 + 4359712^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25607445744401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1315689069 + ... + 1315708531.

Almost surely, 2^{25607445744400} is an apocalyptic number.

25607445744400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25607445744400 is the 5060380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25607445744400

25607445744400 is an abundant number, since it is smaller than the sum of its proper divisors (41014353450479).

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

25607445744400 is an frugal number, since it uses more digits than its factorization.

25607445744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38970 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 52.

The spelling of 25607445744400 in words is "twenty-five trillion, six hundred seven billion, four hundred forty-five million, seven hundred forty-four thousand, four hundred".