25787678752 has 288 divisors, whose sum is σ = 61043092992. Its totient is φ = 10686720000.

The previous prime is 25787678747. The next prime is 25787678773.

25787678752 is nontrivially palindromic in base 10.

Its product of digits (92198400) is a multiple of the sum of its prime divisors (245).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255323502 + ... + 255323602.

It is an arithmetic number, because the mean of its divisors is an integer number (211955184).

Almost surely, 2^25787678752 is an apocalyptic number.

25787678752 is a gapful number since it is divisible by the number (22) 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 25787678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30521546496).

25787678752 is an abundant number, since it is smaller than the sum of its proper divisors (35255414240).

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

25787678752 is a wasteful number, since it uses less digits than its factorization.

25787678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 92198400, while the sum is 64.

The spelling of 25787678752 in words is "twenty-five billion, seven hundred eighty-seven million, six hundred seventy-eight thousand, seven hundred fifty-two".