25227249820560 has 240 divisors, whose sum is σ = 88658388000000. Its totient is φ = 6416337540096.

The previous prime is 25227249820559. The next prime is 25227249820561. The reversal of 25227249820560 is 6502894272252.

25227249820560 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 72 + 4 + 9 + 8 + 2 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (25227249820559) and next prime (25227249820561).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 25227249820497 and 25227249820506.

It is not an unprimeable number, because it can be changed into a prime (25227249820561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3596941 + ... + 7961939.

It is an arithmetic number, because the mean of its divisors is an integer number (369409950000).

Almost surely, 2^{25227249820560} is an apocalyptic number.

25227249820560 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 25227249820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44329194000000).

25227249820560 is an abundant number, since it is smaller than the sum of its proper divisors (63431138179440).

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

25227249820560 is a wasteful number, since it uses less digits than its factorization.

25227249820560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365390 (or 4365381 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25227249820560 in words is "twenty-five trillion, two hundred twenty-seven billion, two hundred forty-nine million, eight hundred twenty thousand, five hundred sixty".