25563116304000 has 576 divisors, whose sum is σ = 100908093653640. Its totient is φ = 6197114880000.

The previous prime is 25563116303983. The next prime is 25563116304013. The reversal of 25563116304000 is 40361136552.

25563116304000 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 3 + 11 + 630 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10232884436544 + 15330231867456 = 3198888^2 + 3915384^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16690440 + ... + 18157560.

Almost surely, 2^{25563116304000} is an apocalyptic number.

25563116304000 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 25563116304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50454046826820).

25563116304000 is an abundant number, since it is smaller than the sum of its proper divisors (75344977349640).

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

25563116304000 is a wasteful number, since it uses less digits than its factorization.

25563116304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467178 (or 1467142 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 25563116304000 in words is "twenty-five trillion, five hundred sixty-three billion, one hundred sixteen million, three hundred four thousand".