25664428800 has 540 divisors, whose sum is σ = 98015490496. Its totient is φ = 6618931200.

The previous prime is 25664428759. The next prime is 25664428837. The reversal of 25664428800 is 882446652.

25664428800 is a `hidden beast` number, since 2 + 566 + 4 + 4 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16069602 + ... + 16071198.

Almost surely, 2^25664428800 is an apocalyptic number.

25664428800 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 25664428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49007745248).

25664428800 is an abundant number, since it is smaller than the sum of its proper divisors (72351061696).

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

25664428800 is a wasteful number, since it uses less digits than its factorization.

25664428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 25664428800 in words is "twenty-five billion, six hundred sixty-four million, four hundred twenty-eight thousand, eight hundred".