12641680095 has 48 divisors (see below), whose sum is σ = 23199353856. Its totient is φ = 5862788800.

The previous prime is 12641680081. The next prime is 12641680111. The reversal of 12641680095 is 59008614621.

It is not a de Polignac number, because 12641680095 - 2¹² = 12641675999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109671 + ... + 193160.

It is an arithmetic number, because the mean of its divisors is an integer number (483319872).

Almost surely, 2^12641680095 is an apocalyptic number.

12641680095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12641680095 is a deficient number, since it is larger than the sum of its proper divisors (10557673761).

12641680095 is a wasteful number, since it uses less digits than its factorization.

12641680095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302884 (or 302873 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 12641680095 in words is "twelve billion, six hundred forty-one million, six hundred eighty thousand, ninety-five".