25200560 has 80 divisors (see below), whose sum is σ = 73066752. Its totient is φ = 7852800.

The previous prime is 25200559. The next prime is 25200577. The reversal of 25200560 is 6500252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4115 + ... + 8205.

Almost surely, 2^25200560 is an apocalyptic number.

25200560 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 25200560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533376).

25200560 is an abundant number, since it is smaller than the sum of its proper divisors (47866192).

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

25200560 is a wasteful number, since it uses less digits than its factorization.

25200560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 25200560 is about 5020.0159362297. The cubic root of 25200560 is about 293.1816134591.

The spelling of 25200560 in words is "twenty-five million, two hundred thousand, five hundred sixty".