25144829268 has 288 divisors, whose sum is σ = 69562112256. Its totient is φ = 7038959616.

The previous prime is 25144829261. The next prime is 25144829287. The reversal of 25144829268 is 86292844152.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 25144829268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25144829261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244124505 + ... + 244124607.

It is an arithmetic number, because the mean of its divisors is an integer number (241535112).

Almost surely, 2^25144829268 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 25144829268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34781056128).

25144829268 is an abundant number, since it is smaller than the sum of its proper divisors (44417282988).

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

25144829268 is a wasteful number, since it uses less digits than its factorization.

25144829268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 25144829268 in words is "twenty-five billion, one hundred forty-four million, eight hundred twenty-nine thousand, two hundred sixty-eight".