25200852768 has 864 divisors, whose sum is σ = 99278524800. Its totient is φ = 5900304384.

The previous prime is 25200852757. The next prime is 25200852769. The reversal of 25200852768 is 86725800252.

25200852768 is a `hidden beast` number, since 2 + 520 + 0 + 8 + 52 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (25200852769) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 110047278 + ... + 110047506.

It is an arithmetic number, because the mean of its divisors is an integer number (114905700).

Almost surely, 2^25200852768 is an apocalyptic number.

25200852768 is a gapful number since it is divisible by the number (28) 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 25200852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49639262400).

25200852768 is an abundant number, since it is smaller than the sum of its proper divisors (74077672032).

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

25200852768 is a wasteful number, since it uses less digits than its factorization.

25200852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 25200852768 in words is "twenty-five billion, two hundred million, eight hundred fifty-two thousand, seven hundred sixty-eight".