12800741011056 has 160 divisors (see below), whose sum is σ = 37348752056640. Its totient is φ = 4196566195200.

The previous prime is 12800741011013. The next prime is 12800741011061. The reversal of 12800741011056 is 65011014700821.

12800741011056 is a `hidden beast` number, since 1 + 2 + 80 + 0 + 7 + 410 + 110 + 56 = 666.

It is a super-2 number, since 2×12800741011056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12800741011056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430392346 + ... + 430422086.

It is an arithmetic number, because the mean of its divisors is an integer number (233429700354).

Almost surely, 2^{12800741011056} is an apocalyptic number.

12800741011056 is a gapful number since it is divisible by the number (16) 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 12800741011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674376028320).

12800741011056 is an abundant number, since it is smaller than the sum of its proper divisors (24548011045584).

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

12800741011056 is a wasteful number, since it uses less digits than its factorization.

12800741011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46152 (or 46140 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 12800741011056 its reverse (65011014700821), we get a palindrome (77811755711877).

The spelling of 12800741011056 in words is "twelve trillion, eight hundred billion, seven hundred forty-one million, eleven thousand, fifty-six".