12670894080 has 384 divisors, whose sum is σ = 47375513640. Its totient is φ = 3114270720.

The previous prime is 12670894063. The next prime is 12670894091. The reversal of 12670894080 is 8049807621.

It can be written as a sum of positive squares in 4 ways, for example, as 9739321344 + 2931572736 = 98688^2 + 54144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19168950 + ... + 19169610.

Almost surely, 2^12670894080 is an apocalyptic number.

12670894080 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 12670894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687756820).

12670894080 is an abundant number, since it is smaller than the sum of its proper divisors (34704619560).

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

12670894080 is an equidigital number, since it uses as much as digits as its factorization.

12670894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 684 counting only the distinct ones).

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

The spelling of 12670894080 in words is "twelve billion, six hundred seventy million, eight hundred ninety-four thousand, eighty".