13005963649992 has 64 divisors (see below), whose sum is σ = 32546382914880. Its totient is φ = 4331126465792.

The previous prime is 13005963649967. The next prime is 13005963649993. The reversal of 13005963649992 is 29994636950031.

It is not an unprimeable number, because it can be changed into a prime (13005963649993) 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, 124177198 + ... + 124281890.

It is an arithmetic number, because the mean of its divisors is an integer number (508537233045).

Almost surely, 2^{13005963649992} is an apocalyptic number.

13005963649992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005963649992 is an abundant number, since it is smaller than the sum of its proper divisors (19540419264888).

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

13005963649992 is a wasteful number, since it uses less digits than its factorization.

13005963649992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109662 (or 109658 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 66.

The spelling of 13005963649992 in words is "thirteen trillion, five billion, nine hundred sixty-three million, six hundred forty-nine thousand, nine hundred ninety-two".