25671612211200 has 1512 divisors, whose sum is σ = 99523042953516. Its totient is φ = 6320553984000.

The previous prime is 25671612211169. The next prime is 25671612211247. The reversal of 25671612211200 is 211221617652.

25671612211200 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 1 + 612 + 2 + 11 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4308580306944 + 21363031904256 = 2075712^2 + 4622016^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 27281202730 + ... + 27281203670.

Almost surely, 2^{25671612211200} is an apocalyptic number.

25671612211200 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 25671612211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49761521476758).

25671612211200 is an abundant number, since it is smaller than the sum of its proper divisors (73851430742316).

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

25671612211200 is a wasteful number, since it uses less digits than its factorization.

25671612211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 25671612211200 its reverse (211221617652), we get a palindrome (25882833828852).

The spelling of 25671612211200 in words is "twenty-five trillion, six hundred seventy-one billion, six hundred twelve million, two hundred eleven thousand, two hundred".