12790406176128 has 480 divisors, whose sum is σ = 45805479231600. Its totient is φ = 3528383846400.

The previous prime is 12790406176123. The next prime is 12790406176199. The reversal of 12790406176128 is 82167160409721.

12790406176128 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 0 + 4 + 0 + 6 + 17 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790406176123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14298853 + ... + 15167003.

Almost surely, 2^{12790406176128} is an apocalyptic number.

12790406176128 is a gapful number since it is divisible by the number (18) 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 12790406176128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902739615800).

12790406176128 is an abundant number, since it is smaller than the sum of its proper divisors (33015073055472).

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

12790406176128 is an equidigital number, since it uses as much as digits as its factorization.

12790406176128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868220 (or 868192 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 12790406176128 in words is "twelve trillion, seven hundred ninety billion, four hundred six million, one hundred seventy-six thousand, one hundred twenty-eight".