25228448884800 has 2016 divisors, whose sum is σ = 111397632952320. Its totient is φ = 5286784204800.

The previous prime is 25228448884753. The next prime is 25228448884829. The reversal of 25228448884800 is 848884482252.

25228448884800 is a `hidden beast` number, since 2 + 52 + 28 + 4 + 4 + 8 + 88 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9305955445 + ... + 9305958155.

Almost surely, 2^{25228448884800} is an apocalyptic number.

25228448884800 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 25228448884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55698816476160).

25228448884800 is an abundant number, since it is smaller than the sum of its proper divisors (86169184067520).

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

25228448884800 is a wasteful number, since it uses less digits than its factorization.

25228448884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 83886080, while the sum is 63.

The spelling of 25228448884800 in words is "twenty-five trillion, two hundred twenty-eight billion, four hundred forty-eight million, eight hundred eighty-four thousand, eight hundred".