25632949248 has 528 divisors, whose sum is σ = 84303648000. Its totient is φ = 7453016064.

The previous prime is 25632949247. The next prime is 25632949249. The reversal of 25632949248 is 84294923652.

25632949248 is a `hidden beast` number, since 256 + 329 + 49 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (25632949247) and next prime (25632949249).

It is a junction number, because it is equal to n+sod(n) for n = 25632949194 and 25632949203.

It is not an unprimeable number, because it can be changed into a prime (25632949241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235164618 + ... + 235164726.

It is an arithmetic number, because the mean of its divisors is an integer number (159666000).

Almost surely, 2^25632949248 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 25632949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42151824000).

25632949248 is an abundant number, since it is smaller than the sum of its proper divisors (58670698752).

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

25632949248 is a wasteful number, since it uses less digits than its factorization.

25632949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 25632949248 in words is "twenty-five billion, six hundred thirty-two million, nine hundred forty-nine thousand, two hundred forty-eight".