25323580800 has 960 divisors, whose sum is σ = 113219583840. Its totient is φ = 5441126400.

The previous prime is 25323580661. The next prime is 25323580847. The reversal of 25323580800 is 808532352.

25323580800 is a `hidden beast` number, since 2 + 53 + 23 + 580 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30844390 + ... + 30845210.

Almost surely, 2^25323580800 is an apocalyptic number.

25323580800 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 25323580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609791920).

25323580800 is an abundant number, since it is smaller than the sum of its proper divisors (87896003040).

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

25323580800 is a wasteful number, since it uses less digits than its factorization.

25323580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25323580800 in words is "twenty-five billion, three hundred twenty-three million, five hundred eighty thousand, eight hundred".