25294059648 has 768 divisors, whose sum is σ = 91747123200. Its totient is φ = 6793113600.

The previous prime is 25294059647. The next prime is 25294059649. The reversal of 25294059648 is 84695049252.

25294059648 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 4 + 0 + 596 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (25294059647) and next prime (25294059649).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25294059594 and 25294059603.

It is not an unprimeable number, because it can be changed into a prime (25294059641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199165761 + ... + 199165887.

It is an arithmetic number, because the mean of its divisors is an integer number (119462400).

Almost surely, 2^25294059648 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 25294059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45873561600).

25294059648 is an abundant number, since it is smaller than the sum of its proper divisors (66453063552).

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

25294059648 is a wasteful number, since it uses less digits than its factorization.

25294059648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 25294059648 in words is "twenty-five billion, two hundred ninety-four million, fifty-nine thousand, six hundred forty-eight".