12958407567 has 16 divisors (see below), whose sum is σ = 21940161280. Its totient is φ = 7404804216.

The previous prime is 12958407559. The next prime is 12958407587. The reversal of 12958407567 is 76570485921.

12958407567 is a `hidden beast` number, since 1 + 2 + 9 + 584 + 0 + 7 + 56 + 7 = 666.

It is not a de Polignac number, because 12958407567 - 2³ = 12958407559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958407587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34281313 + ... + 34281690.

It is an arithmetic number, because the mean of its divisors is an integer number (1371260080).

Almost surely, 2^12958407567 is an apocalyptic number.

12958407567 is a deficient number, since it is larger than the sum of its proper divisors (8981753713).

12958407567 is an equidigital number, since it uses as much as digits as its factorization.

12958407567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68563019 (or 68563013 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12958407567 in words is "twelve billion, nine hundred fifty-eight million, four hundred seven thousand, five hundred sixty-seven".