12873571669920 has 1536 divisors, whose sum is σ = 50606998041600. Its totient is φ = 2714285113344.

The previous prime is 12873571669897. The next prime is 12873571669957. The reversal of 12873571669920 is 2996617537821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15021670132 + ... + 15021670988.

It is an arithmetic number, because the mean of its divisors is an integer number (32947264350).

Almost surely, 2^{12873571669920} is an apocalyptic number.

12873571669920 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 12873571669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303499020800).

12873571669920 is an abundant number, since it is smaller than the sum of its proper divisors (37733426371680).

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

12873571669920 is a wasteful number, since it uses less digits than its factorization.

12873571669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 12873571669920 in words is "twelve trillion, eight hundred seventy-three billion, five hundred seventy-one million, six hundred sixty-nine thousand, nine hundred twenty".