25250295027648 has 224 divisors, whose sum is σ = 70623354816000. Its totient is φ = 7939931295744.

The previous prime is 25250295027599. The next prime is 25250295027649. The reversal of 25250295027648 is 84672059205252.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25250295027649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945938590 + ... + 945965282.

It is an arithmetic number, because the mean of its divisors is an integer number (315282834000).

Almost surely, 2^{25250295027648} 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 25250295027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35311677408000).

25250295027648 is an abundant number, since it is smaller than the sum of its proper divisors (45373059788352).

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

25250295027648 is a wasteful number, since it uses less digits than its factorization.

25250295027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27819 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 25250295027648 in words is "twenty-five trillion, two hundred fifty billion, two hundred ninety-five million, twenty-seven thousand, six hundred forty-eight".