25849654314330 has 384 divisors, whose sum is σ = 79077694832640. Its totient is φ = 5292586252800.

The previous prime is 25849654314293. The next prime is 25849654314347. The reversal of 25849654314330 is 3341345694852.

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4252284231 + ... + 4252290309.

It is an arithmetic number, because the mean of its divisors is an integer number (205931496960).

Almost surely, 2^{25849654314330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25849654314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39538847416320).

25849654314330 is an abundant number, since it is smaller than the sum of its proper divisors (53228040518310).

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

25849654314330 is a wasteful number, since it uses less digits than its factorization.

25849654314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 25849654314330 in words is "twenty-five trillion, eight hundred forty-nine billion, six hundred fifty-four million, three hundred fourteen thousand, three hundred thirty".