25609705600 has 48 divisors (see below), whose sum is σ = 63263983770. Its totient is φ = 10243880960.

The previous prime is 25609705547. The next prime is 25609705651. The reversal of 25609705600 is 650790652.

It can be written as a sum of positive squares in 3 ways, for example, as 21271639104 + 4338066496 = 145848^2 + 65864^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3998317 + ... + 4004716.

Almost surely, 2^25609705600 is an apocalyptic number.

25609705600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25609705600 is an abundant number, since it is smaller than the sum of its proper divisors (37654278170).

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

25609705600 is an equidigital number, since it uses as much as digits as its factorization.

25609705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003057 (or 8003040 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 25609705600 in words is "twenty-five billion, six hundred nine million, seven hundred five thousand, six hundred".