25560210500 has 384 divisors, whose sum is σ = 67307175936. Its totient is φ = 8382528000.

The previous prime is 25560210461. The next prime is 25560210521. The reversal of 25560210500 is 501206552.

It is a self number, because there is not a number n which added to its sum of digits gives 25560210500.

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 127 ways as a sum of consecutive naturals, for example, 201261437 + ... + 201261563.

It is an arithmetic number, because the mean of its divisors is an integer number (175279104).

Almost surely, 2^25560210500 is an apocalyptic number.

25560210500 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 25560210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33653587968).

25560210500 is an abundant number, since it is smaller than the sum of its proper divisors (41746965436).

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

25560210500 is a wasteful number, since it uses less digits than its factorization.

25560210500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 25560210500 in words is "twenty-five billion, five hundred sixty million, two hundred ten thousand, five hundred".