25564492800 has 1188 divisors, whose sum is σ = 115861313568. Its totient is φ = 5271552000.

The previous prime is 25564492787. The next prime is 25564492817. The reversal of 25564492800 is 829446552.

25564492800 is a `hidden beast` number, since 2 + 5 + 564 + 4 + 9 + 2 + 80 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 195148735 + ... + 195148865.

Almost surely, 2^25564492800 is an apocalyptic number.

25564492800 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 25564492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57930656784).

25564492800 is an abundant number, since it is smaller than the sum of its proper divisors (90296820768).

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

25564492800 is a wasteful number, since it uses less digits than its factorization.

25564492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25564492800 in words is "twenty-five billion, five hundred sixty-four million, four hundred ninety-two thousand, eight hundred".