25815728027232 has 864 divisors, whose sum is σ = 92147661837504. Its totient is φ = 6786482503680.

The previous prime is 25815728027213. The next prime is 25815728027237. The reversal of 25815728027232 is 23272082751852.

25815728027232 is a `hidden beast` number, since 2 + 5 + 81 + 57 + 280 + 2 + 7 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25815728027237) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6338256748 + ... + 6338260820.

It is an arithmetic number, because the mean of its divisors is an integer number (106652386386).

Almost surely, 2^{25815728027232} is an apocalyptic number.

25815728027232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25815728027232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46073830918752).

25815728027232 is an abundant number, since it is smaller than the sum of its proper divisors (66331933810272).

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

25815728027232 is a wasteful number, since it uses less digits than its factorization.

25815728027232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 25815728027232 in words is "twenty-five trillion, eight hundred fifteen billion, seven hundred twenty-eight million, twenty-seven thousand, two hundred thirty-two".