25349057667 has 48 divisors (see below), whose sum is σ = 38113815168. Its totient is φ = 16223800320.

The previous prime is 25349057641. The next prime is 25349057677. The reversal of 25349057667 is 76675094352.

25349057667 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 9 + 0 + 576 + 67 = 666.

It is not a de Polignac number, because 25349057667 - 2¹² = 25349053571 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25349057677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5422243 + ... + 5426915.

It is an arithmetic number, because the mean of its divisors is an integer number (794037816).

Almost surely, 2^25349057667 is an apocalyptic number.

25349057667 is a deficient number, since it is larger than the sum of its proper divisors (12764757501).

25349057667 is a wasteful number, since it uses less digits than its factorization.

25349057667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 25349057667 in words is "twenty-five billion, three hundred forty-nine million, fifty-seven thousand, six hundred sixty-seven".