25900825248 has 192 divisors, whose sum is σ = 79054859520. Its totient is φ = 8241232896.

The previous prime is 25900825243. The next prime is 25900825267. The reversal of 25900825248 is 84252800952.

25900825248 is a `hidden beast` number, since 2 + 590 + 0 + 8 + 2 + 52 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (25900825241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686661 + ... + 1701947.

It is an arithmetic number, because the mean of its divisors is an integer number (411744060).

Almost surely, 2^25900825248 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 25900825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527429760).

25900825248 is an abundant number, since it is smaller than the sum of its proper divisors (53154034272).

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

25900825248 is a wasteful number, since it uses less digits than its factorization.

25900825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15396 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 25900825248 in words is "twenty-five billion, nine hundred million, eight hundred twenty-five thousand, two hundred forty-eight".