12959463072 has 96 divisors (see below), whose sum is σ = 34279096320. Its totient is φ = 4286862080.

The previous prime is 12959463071. The next prime is 12959463151. The reversal of 12959463072 is 27036495921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12959463072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12959463071) 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, 13183093 + ... + 13184075.

It is an arithmetic number, because the mean of its divisors is an integer number (357073920).

Almost surely, 2^12959463072 is an apocalyptic number.

12959463072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959463072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139548160).

12959463072 is an abundant number, since it is smaller than the sum of its proper divisors (21319633248).

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

12959463072 is a wasteful number, since it uses less digits than its factorization.

12959463072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12959463072 in words is "twelve billion, nine hundred fifty-nine million, four hundred sixty-three thousand, seventy-two".