25676788800 has 336 divisors, whose sum is σ = 91005550272. Its totient is φ = 6300672000.

The previous prime is 25676788799. The next prime is 25676788801. The reversal of 25676788800 is 888767652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25676788799) and next prime (25676788801).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25676788801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36628450 + ... + 36629150.

It is an arithmetic number, because the mean of its divisors is an integer number (270849852).

Almost surely, 2^25676788800 is an apocalyptic number.

25676788800 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 25676788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502775136).

25676788800 is an abundant number, since it is smaller than the sum of its proper divisors (65328761472).

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

25676788800 is a wasteful number, since it uses less digits than its factorization.

25676788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 25676788800 in words is "twenty-five billion, six hundred seventy-six million, seven hundred eighty-eight thousand, eight hundred".