25724644642752 has 112 divisors (see below), whose sum is σ = 78158609443200. Its totient is φ = 7385065436160.

The previous prime is 25724644642729. The next prime is 25724644642757.

25724644642752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25724644642752² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25724644642757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320492227 + ... + 320572482.

Almost surely, 2^{25724644642752} is an apocalyptic number.

25724644642752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25724644642752 is an abundant number, since it is smaller than the sum of its proper divisors (52433964800448).

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

25724644642752 is a wasteful number, since it uses less digits than its factorization.

25724644642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641064754 (or 641064744 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 60.

The spelling of 25724644642752 in words is "twenty-five trillion, seven hundred twenty-four billion, six hundred forty-four million, six hundred forty-two thousand, seven hundred fifty-two".