25560785250 has 960 divisors, whose sum is σ = 97494388992. Its totient is φ = 4852224000.

The previous prime is 25560785249. The next prime is 25560785269. The reversal of 25560785250 is 5258706552.

25560785250 is a `hidden beast` number, since 2 + 5 + 56 + 0 + 78 + 525 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25560785196 and 25560785205.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 263513202 + ... + 263513298.

Almost surely, 2^25560785250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25560785250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48747194496).

25560785250 is an abundant number, since it is smaller than the sum of its proper divisors (71933603742).

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

25560785250 is a wasteful number, since it uses less digits than its factorization.

25560785250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 25560785250 in words is "twenty-five billion, five hundred sixty million, seven hundred eighty-five thousand, two hundred fifty".