25564222800 has 180 divisors, whose sum is σ = 89207365884. Its totient is φ = 6779289600.

The previous prime is 25564222777. The next prime is 25564222807. The reversal of 25564222800 is 822246552.

25564222800 is a `hidden beast` number, since 2 + 5 + 5 + 642 + 2 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12780754704 + 12783468096 = 113052^2 + 113064^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25564222807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631984 + ... + 671216.

Almost surely, 2^25564222800 is an apocalyptic number.

25564222800 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 25564222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44603682942).

25564222800 is an abundant number, since it is smaller than the sum of its proper divisors (63643143084).

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

25564222800 is a wasteful number, since it uses less digits than its factorization.

25564222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39438 (or 39424 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 25564222800 in words is "twenty-five billion, five hundred sixty-four million, two hundred twenty-two thousand, eight hundred".