25284296352 has 288 divisors, whose sum is σ = 80995723200. Its totient is φ = 6876721152.

The previous prime is 25284296339. The next prime is 25284296377. The reversal of 25284296352 is 25369248252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9957099 + ... + 9959637.

It is an arithmetic number, because the mean of its divisors is an integer number (281235150).

Almost surely, 2^25284296352 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 25284296352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497861600).

25284296352 is an abundant number, since it is smaller than the sum of its proper divisors (55711426848).

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

25284296352 is a wasteful number, since it uses less digits than its factorization.

25284296352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2653 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 25284296352 in words is "twenty-five billion, two hundred eighty-four million, two hundred ninety-six thousand, three hundred fifty-two".