12874276188480 has 448 divisors, whose sum is σ = 46977877900800. Its totient is φ = 2926194425856.

The previous prime is 12874276188461. The next prime is 12874276188503. The reversal of 12874276188480 is 8488167247821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 874782082 + ... + 874796798.

It is an arithmetic number, because the mean of its divisors is an integer number (104861334600).

Almost surely, 2^{12874276188480} is an apocalyptic number.

12874276188480 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 12874276188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488938950400).

12874276188480 is an abundant number, since it is smaller than the sum of its proper divisors (34103601712320).

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

12874276188480 is a wasteful number, since it uses less digits than its factorization.

12874276188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15466 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 66.

The spelling of 12874276188480 in words is "twelve trillion, eight hundred seventy-four billion, two hundred seventy-six million, one hundred eighty-eight thousand, four hundred eighty".