25604812800 has 1092 divisors, whose sum is σ = 111014261200. Its totient is φ = 5852528640.

The previous prime is 25604812781. The next prime is 25604812817. The reversal of 25604812800 is 821840652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25604812800 is a `hidden beast` number, since 2 + 560 + 4 + 8 + 12 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3657830397 + ... + 3657830403.

Almost surely, 2^25604812800 is an apocalyptic number.

25604812800 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 25604812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55507130600).

25604812800 is an abundant number, since it is smaller than the sum of its proper divisors (85409448400).

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

25604812800 is an frugal number, since it uses more digits than its factorization.

25604812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 25604812800 in words is "twenty-five billion, six hundred four million, eight hundred twelve thousand, eight hundred".