25753242313278 has 96 divisors (see below), whose sum is σ = 59860378749600. Its totient is φ = 7976931176448.

The previous prime is 25753242313273. The next prime is 25753242313301. The reversal of 25753242313278 is 87231324235752.

25753242313278 is a `hidden beast` number, since 2 + 5 + 7 + 53 + 2 + 4 + 2 + 313 + 278 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25753242313273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65365338 + ... + 65758146.

It is an arithmetic number, because the mean of its divisors is an integer number (623545611975).

Almost surely, 2^{25753242313278} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25753242313278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29930189374800).

25753242313278 is an abundant number, since it is smaller than the sum of its proper divisors (34107136436322).

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

25753242313278 is a wasteful number, since it uses less digits than its factorization.

25753242313278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396506 (or 396503 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 25753242313278 in words is "twenty-five trillion, seven hundred fifty-three billion, two hundred forty-two million, three hundred thirteen thousand, two hundred seventy-eight".