25769779200 has 1008 divisors, whose sum is σ = 106482684672. Its totient is φ = 5898240000.

The previous prime is 25769779199. The next prime is 25769779261. The reversal of 25769779200 is 297796752.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628531180 + ... + 628531220.

It is an arithmetic number, because the mean of its divisors is an integer number (105637584).

Almost surely, 2^25769779200 is an apocalyptic number.

25769779200 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 25769779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53241342336).

25769779200 is an abundant number, since it is smaller than the sum of its proper divisors (80712905472).

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

25769779200 is a wasteful number, since it uses less digits than its factorization.

25769779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 25769779200 in words is "twenty-five billion, seven hundred sixty-nine million, seven hundred seventy-nine thousand, two hundred".