12955063968 has 768 divisors, whose sum is σ = 51112857600. Its totient is φ = 3090493440.

The previous prime is 12955063937. The next prime is 12955063997. The reversal of 12955063968 is 86936055921.

It is a happy number.

12955063968 is a `hidden beast` number, since 1 + 29 + 550 + 6 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46769046 + ... + 46769322.

It is an arithmetic number, because the mean of its divisors is an integer number (66553200).

Almost surely, 2^12955063968 is an apocalyptic number.

12955063968 is a gapful number since it is divisible by the number (18) 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 12955063968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556428800).

12955063968 is an abundant number, since it is smaller than the sum of its proper divisors (38157793632).

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

12955063968 is a wasteful number, since it uses less digits than its factorization.

12955063968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 12955063968 in words is "twelve billion, nine hundred fifty-five million, sixty-three thousand, nine hundred sixty-eight".