12868873920 has 672 divisors, whose sum is σ = 53475940800. Its totient is φ = 2904588288.

The previous prime is 12868873889. The next prime is 12868873943. The reversal of 12868873920 is 2937886821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47839546 + ... + 47839814.

Almost surely, 2^12868873920 is an apocalyptic number.

12868873920 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 12868873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26737970400).

12868873920 is an abundant number, since it is smaller than the sum of its proper divisors (40607066880).

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

12868873920 is a wasteful number, since it uses less digits than its factorization.

12868873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12868873920 in words is "twelve billion, eight hundred sixty-eight million, eight hundred seventy-three thousand, nine hundred twenty".