25380945648 has 280 divisors, whose sum is σ = 79045515168. Its totient is φ = 7870680576.

The previous prime is 25380945631. The next prime is 25380945661. The reversal of 25380945648 is 84654908352.

25380945648 is a `hidden beast` number, since 2 + 538 + 0 + 9 + 45 + 64 + 8 = 666.

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 = 25380945594 and 25380945603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9924786 + ... + 9927342.

Almost surely, 2^25380945648 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 25380945648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39522757584).

25380945648 is an abundant number, since it is smaller than the sum of its proper divisors (53664569520).

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

25380945648 is a wasteful number, since it uses less digits than its factorization.

25380945648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25380945648 in words is "twenty-five billion, three hundred eighty million, nine hundred forty-five thousand, six hundred forty-eight".