25653301668 has 120 divisors (see below), whose sum is σ = 71587897920. Its totient is φ = 7986807360.

The previous prime is 25653301591. The next prime is 25653301679. The reversal of 25653301668 is 86610335652.

25653301668 is a `hidden beast` number, since 2 + 56 + 533 + 0 + 1 + 6 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407730 + ... + 466422.

It is an arithmetic number, because the mean of its divisors is an integer number (596565816).

Almost surely, 2^25653301668 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 25653301668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35793948960).

25653301668 is an abundant number, since it is smaller than the sum of its proper divisors (45934596252).

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

25653301668 is a wasteful number, since it uses less digits than its factorization.

25653301668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58799 (or 58788 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25653301668 in words is "twenty-five billion, six hundred fifty-three million, three hundred one thousand, six hundred sixty-eight".