25238367787264 has 72 divisors (see below), whose sum is σ = 50537431192248. Its totient is φ = 12579299819520.

The previous prime is 25238367787249. The next prime is 25238367787279. The reversal of 25238367787264 is 46278776383252.

It is an interprime number because it is at equal distance from previous prime (25238367787249) and next prime (25238367787279).

It can be written as a sum of positive squares in 4 ways, for example, as 4982895417600 + 20255472369664 = 2232240^2 + 4500608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25238367787193 and 25238367787202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495262074 + ... + 495313030.

It is an arithmetic number, because the mean of its divisors is an integer number (701908766559).

Almost surely, 2^{25238367787264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25238367787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268715596124).

25238367787264 is an abundant number, since it is smaller than the sum of its proper divisors (25299063404984).

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

25238367787264 is an equidigital number, since it uses as much as digits as its factorization.

25238367787264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57051 (or 57037 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 70.

The spelling of 25238367787264 in words is "twenty-five trillion, two hundred thirty-eight billion, three hundred sixty-seven million, seven hundred eighty-seven thousand, two hundred sixty-four".