25043258240 has 768 divisors, whose sum is σ = 84292669440. Its totient is φ = 6900940800.

The previous prime is 25043258239. The next prime is 25043258269. The reversal of 25043258240 is 4285234052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 25043258240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258177872 + ... + 258177968.

It is an arithmetic number, because the mean of its divisors is an integer number (109756080).

Almost surely, 2^25043258240 is an apocalyptic number.

25043258240 is a gapful number since it is divisible by the number (20) 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 25043258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42146334720).

25043258240 is an abundant number, since it is smaller than the sum of its proper divisors (59249411200).

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

25043258240 is a wasteful number, since it uses less digits than its factorization.

25043258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 25043258240 in words is "twenty-five billion, forty-three million, two hundred fifty-eight thousand, two hundred forty".