12779285284920 has 512 divisors, whose sum is σ = 48319219630080. Its totient is φ = 2626623866880.

The previous prime is 12779285284903. The next prime is 12779285284933. The reversal of 12779285284920 is 2948258297721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 323481889 + ... + 323521391.

It is an arithmetic number, because the mean of its divisors is an integer number (94373475840).

Almost surely, 2^{12779285284920} is an apocalyptic number.

12779285284920 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 12779285284920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159609815040).

12779285284920 is an abundant number, since it is smaller than the sum of its proper divisors (35539934345160).

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

12779285284920 is a wasteful number, since it uses less digits than its factorization.

12779285284920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39915 (or 39911 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 12779285284920 in words is "twelve trillion, seven hundred seventy-nine billion, two hundred eighty-five million, two hundred eighty-four thousand, nine hundred twenty".