25927050240 has 1056 divisors, whose sum is σ = 115163892480. Its totient is φ = 5446434816.

The previous prime is 25927050209. The next prime is 25927050241. The reversal of 25927050240 is 4205072952.

It is a happy number.

25927050240 is a `hidden beast` number, since 25 + 92 + 7 + 0 + 502 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25927050195 and 25927050204.

It is not an unprimeable number, because it can be changed into a prime (25927050241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218446 + ... + 113218674.

Almost surely, 2^25927050240 is an apocalyptic number.

25927050240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25927050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57581946240).

25927050240 is an abundant number, since it is smaller than the sum of its proper divisors (89236842240).

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

25927050240 is a wasteful number, since it uses less digits than its factorization.

25927050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 25927050240 in words is "twenty-five billion, nine hundred twenty-seven million, fifty thousand, two hundred forty".