25318972800 has 576 divisors, whose sum is σ = 99270990000. Its totient is φ = 6093619200.

The previous prime is 25318972793. The next prime is 25318972801. The reversal of 25318972800 is 827981352.

It is a happy number.

25318972800 is a `hidden beast` number, since 2 + 531 + 8 + 97 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25318972801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72547026 + ... + 72547374.

Almost surely, 2^25318972800 is an apocalyptic number.

25318972800 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 25318972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49635495000).

25318972800 is an abundant number, since it is smaller than the sum of its proper divisors (73952017200).

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

25318972800 is a wasteful number, since it uses less digits than its factorization.

25318972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 25318972800 in words is "twenty-five billion, three hundred eighteen million, nine hundred seventy-two thousand, eight hundred".