25271294524416 has 528 divisors, whose sum is σ = 78016741770240. Its totient is φ = 7855486894080.

The previous prime is 25271294524381. The next prime is 25271294524433. The reversal of 25271294524416 is 61442549217252.

25271294524416 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 12 + 94 + 524 + 4 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10604822361 + ... + 10604824743.

Almost surely, 2^{25271294524416} 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 25271294524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39008370885120).

25271294524416 is an abundant number, since it is smaller than the sum of its proper divisors (52745447245824).

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

25271294524416 is a wasteful number, since it uses less digits than its factorization.

25271294524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3331 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 25271294524416 in words is "twenty-five trillion, two hundred seventy-one billion, two hundred ninety-four million, five hundred twenty-four thousand, four hundred sixteen".