25577307648 has 120 divisors (see below), whose sum is σ = 74580153648. Its totient is φ = 8437727232.

The previous prime is 25577307643. The next prime is 25577307649. The reversal of 25577307648 is 84670377552.

It is a happy number.

25577307648 is a `hidden beast` number, since 2 + 5 + 577 + 3 + 0 + 7 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25577307594 and 25577307603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25577307643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418365 + ... + 475587.

Almost surely, 2^25577307648 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 25577307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37290076824).

25577307648 is an abundant number, since it is smaller than the sum of its proper divisors (49002846000).

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

25577307648 is an equidigital number, since it uses as much as digits as its factorization.

25577307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57344 (or 57325 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 25577307648 in words is "twenty-five billion, five hundred seventy-seven million, three hundred seven thousand, six hundred forty-eight".