25642144124652 has 48 divisors (see below), whose sum is σ = 65279743546752. Its totient is φ = 7769295367680.

The previous prime is 25642144124651. The next prime is 25642144124699.

25642144124652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25642144124652² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25642144124651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162138 + ... + 14113889.

It is an arithmetic number, because the mean of its divisors is an integer number (1359994657224).

Almost surely, 2^{25642144124652} is an apocalyptic number.

25642144124652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25642144124652 is an abundant number, since it is smaller than the sum of its proper divisors (39637599422100).

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

25642144124652 is a wasteful number, since it uses less digits than its factorization.

25642144124652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26283438 (or 26283436 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

It can be divided in two parts, 2564214 and 4124652, that added together give a palindrome (6688866).

The spelling of 25642144124652 in words is "twenty-five trillion, six hundred forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, six hundred fifty-two".