25344876672 has 192 divisors, whose sum is σ = 76313633760. Its totient is φ = 8372367360.

The previous prime is 25344876659. The next prime is 25344876721. The reversal of 25344876672 is 27667844352.

25344876672 is a `hidden beast` number, since 2 + 5 + 34 + 487 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3511147 + ... + 3518357.

Almost surely, 2^25344876672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25344876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38156816880).

25344876672 is an abundant number, since it is smaller than the sum of its proper divisors (50968757088).

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

25344876672 is an equidigital number, since it uses as much as digits as its factorization.

25344876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7329 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 25344876672 in words is "twenty-five billion, three hundred forty-four million, eight hundred seventy-six thousand, six hundred seventy-two".