25200454860 has 192 divisors, whose sum is σ = 89945856000. Its totient is φ = 5737976064.

The previous prime is 25200454859. The next prime is 25200454891. The reversal of 25200454860 is 6845400252.

It is a happy number.

25200454860 is a `hidden beast` number, since 2 + 52 + 0 + 0 + 4 + 548 + 60 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 981466 + ... + 1006814.

It is an arithmetic number, because the mean of its divisors is an integer number (468468000).

Almost surely, 2^25200454860 is an apocalyptic number.

25200454860 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 25200454860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44972928000).

25200454860 is an abundant number, since it is smaller than the sum of its proper divisors (64745401140).

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

25200454860 is a wasteful number, since it uses less digits than its factorization.

25200454860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25637 (or 25629 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 25200454860 in words is "twenty-five billion, two hundred million, four hundred fifty-four thousand, eight hundred sixty".