25864981200 has 720 divisors, whose sum is σ = 101247269760. Its totient is φ = 6082560000.

The previous prime is 25864981169. The next prime is 25864981229. The reversal of 25864981200 is 218946852.

25864981200 is a `hidden beast` number, since 2 + 586 + 49 + 8 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64501000 + ... + 64501400.

It is an arithmetic number, because the mean of its divisors is an integer number (140621208).

Almost surely, 2^25864981200 is an apocalyptic number.

25864981200 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 25864981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50623634880).

25864981200 is an abundant number, since it is smaller than the sum of its proper divisors (75382288560).

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

25864981200 is a wasteful number, since it uses less digits than its factorization.

25864981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25864981200 in words is "twenty-five billion, eight hundred sixty-four million, nine hundred eighty-one thousand, two hundred".