25830272268 has 108 divisors (see below), whose sum is σ = 68721088800. Its totient is φ = 8179566912.

The previous prime is 25830272249. The next prime is 25830272287. The reversal of 25830272268 is 86227203852.

It is a happy number.

25830272268 is a `hidden beast` number, since 2 + 583 + 0 + 2 + 7 + 2 + 2 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (25830272249) and next prime (25830272287).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2833005 + ... + 2842107.

Almost surely, 2^25830272268 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 25830272268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34360544400).

25830272268 is an abundant number, since it is smaller than the sum of its proper divisors (42890816532).

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

25830272268 is a wasteful number, since it uses less digits than its factorization.

25830272268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25830272268 in words is "twenty-five billion, eight hundred thirty million, two hundred seventy-two thousand, two hundred sixty-eight".