25801027200000 has 3960 divisors, whose sum is σ = 113309550224640. Its totient is φ = 5822668800000.

The previous prime is 25801027199971. The next prime is 25801027200043. The reversal of 25801027200000 is 272010852.

25801027200000 is a `hidden beast` number, since 2 + 580 + 10 + 2 + 72 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 832291199985 + ... + 832291200015.

It is an arithmetic number, because the mean of its divisors is an integer number (28613522784).

Almost surely, 2^{25801027200000} is an apocalyptic number.

25801027200000 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 25801027200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56654775112320).

25801027200000 is an abundant number, since it is smaller than the sum of its proper divisors (87508523024640).

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

25801027200000 is an equidigital number, since it uses as much as digits as its factorization.

25801027200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 25801027200000 its reverse (272010852), we get a palindrome (25801299210852).

The spelling of 25801027200000 in words is "twenty-five trillion, eight hundred one billion, twenty-seven million, two hundred thousand".