12968931840 has 640 divisors, whose sum is σ = 46762721280. Its totient is φ = 3052339200.

The previous prime is 12968931803. The next prime is 12968931841. The reversal of 12968931840 is 4813986921.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (12968931841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212605410 + ... + 212605470.

It is an arithmetic number, because the mean of its divisors is an integer number (73066752).

Almost surely, 2^12968931840 is an apocalyptic number.

12968931840 is a gapful number since it is divisible by the number (10) 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 12968931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381360640).

12968931840 is an abundant number, since it is smaller than the sum of its proper divisors (33793789440).

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

12968931840 is a wasteful number, since it uses less digits than its factorization.

12968931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 12968931840 in words is "twelve billion, nine hundred sixty-eight million, nine hundred thirty-one thousand, eight hundred forty".