25545600 has 144 divisors (see below), whose sum is σ = 91255320. Its totient is φ = 6804480.

The previous prime is 25545599. The next prime is 25545601. The reversal of 25545600 is 654552.

25545600 is a `hidden beast` number, since 2 + 5 + 54 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (25545599) and next prime (25545601).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25545601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28357 + ... + 29243.

Almost surely, 2^25545600 is an apocalyptic number.

25545600 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 25545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627660).

25545600 is an abundant number, since it is smaller than the sum of its proper divisors (65709720).

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

25545600 is a wasteful number, since it uses less digits than its factorization.

25545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 25545600 is about 5054.2655252766. The cubic root of 25545600 is about 294.5136100586.

The spelling of 25545600 in words is "twenty-five million, five hundred forty-five thousand, six hundred".