25220427724800 has 2592 divisors, whose sum is σ = 115411796922240. Its totient is φ = 5112270028800.

The previous prime is 25220427724763. The next prime is 25220427724841. The reversal of 25220427724800 is 842772402252.

It is a happy number.

25220427724800 is a `hidden beast` number, since 2 + 522 + 0 + 4 + 27 + 7 + 24 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 244858521549 + ... + 244858521651.

It is an arithmetic number, because the mean of its divisors is an integer number (44526156220).

Almost surely, 2^{25220427724800} is an apocalyptic number.

25220427724800 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 25220427724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57705898461120).

25220427724800 is an abundant number, since it is smaller than the sum of its proper divisors (90191369197440).

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

25220427724800 is a wasteful number, since it uses less digits than its factorization.

25220427724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 25220427724800 in words is "twenty-five trillion, two hundred twenty billion, four hundred twenty-seven million, seven hundred twenty-four thousand, eight hundred".