25580825000 has 96 divisors (see below), whose sum is σ = 60630103800. Its totient is φ = 10116480000.

The previous prime is 25580824991. The next prime is 25580825029. The reversal of 25580825000 is 52808552.

It can be written as a sum of positive squares in 12 ways, for example, as 14768568676 + 10812256324 = 121526^2 + 103982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2219252 + ... + 2230748.

Almost surely, 2^25580825000 is an apocalyptic number.

25580825000 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 25580825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30315051900).

25580825000 is an abundant number, since it is smaller than the sum of its proper divisors (35049278800).

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

25580825000 is an equidigital number, since it uses as much as digits as its factorization.

25580825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11617 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The spelling of 25580825000 in words is "twenty-five billion, five hundred eighty million, eight hundred twenty-five thousand".