12673126010880 has 1664 divisors, whose sum is σ = 49736192348160. Its totient is φ = 3047455457280.

The previous prime is 12673126010843. The next prime is 12673126010899. The reversal of 12673126010880 is 8801062137621.

12673126010880 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 31 + 2 + 601 + 0 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×12673126010880³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45751357302 + ... + 45751357578.

Almost surely, 2^{12673126010880} is an apocalyptic number.

12673126010880 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 12673126010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24868096174080).

12673126010880 is an abundant number, since it is smaller than the sum of its proper divisors (37063066337280).

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

12673126010880 is a wasteful number, since it uses less digits than its factorization.

12673126010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12673126010880 in words is "twelve trillion, six hundred seventy-three billion, one hundred twenty-six million, ten thousand, eight hundred eighty".