25900201267200 has 1638 divisors, whose sum is σ = 104320656320946. Its totient is φ = 6372328734720.

The previous prime is 25900201267177. The next prime is 25900201267223. The reversal of 25900201267200 is 276210200952.

It is a happy number.

25900201267200 is a `hidden beast` number, since 2 + 590 + 0 + 2 + 0 + 1 + 2 + 67 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25900201267177) and next prime (25900201267223).

It can be written as a sum of positive squares in 9 ways, for example, as 16322117124096 + 9578084143104 = 4040064^2 + 3094848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 12615781374 + ... + 12615783426.

Almost surely, 2^{25900201267200} is an apocalyptic number.

25900201267200 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 25900201267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52160328160473).

25900201267200 is an abundant number, since it is smaller than the sum of its proper divisors (78420455053746).

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

25900201267200 is an equidigital number, since it uses as much as digits as its factorization.

25900201267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 25900201267200 in words is "twenty-five trillion, nine hundred billion, two hundred one million, two hundred sixty-seven thousand, two hundred".