12935954976 has 192 divisors, whose sum is σ = 41368320000. Its totient is φ = 3455078400.

The previous prime is 12935954971. The next prime is 12935954989. The reversal of 12935954976 is 67945953921.

It is a super-2 number, since 2×12935954976² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12935954971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721275 + ... + 1728773.

It is an arithmetic number, because the mean of its divisors is an integer number (215460000).

Almost surely, 2^12935954976 is an apocalyptic number.

12935954976 is a gapful number since it is divisible by the number (16) 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 12935954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160000).

12935954976 is an abundant number, since it is smaller than the sum of its proper divisors (28432365024).

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

12935954976 is a wasteful number, since it uses less digits than its factorization.

12935954976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7679 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 60.

The spelling of 12935954976 in words is "twelve billion, nine hundred thirty-five million, nine hundred fifty-four thousand, nine hundred seventy-six".