10774728071184 has 480 divisors, whose sum is σ = 36707279155200. Its totient is φ = 2690145561600.

The previous prime is 10774728071167. The next prime is 10774728071197. The reversal of 10774728071184 is 48117082747701.

10774728071184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119457687 + ... + 119547849.

It is an arithmetic number, because the mean of its divisors is an integer number (76473498240).

Almost surely, 2^{10774728071184} is an apocalyptic number.

10774728071184 is a gapful number since it is divisible by the number (14) 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 10774728071184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353639577600).

10774728071184 is an abundant number, since it is smaller than the sum of its proper divisors (25932551084016).

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

10774728071184 is a wasteful number, since it uses less digits than its factorization.

10774728071184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90379 (or 90366 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 57.

The spelling of 10774728071184 in words is "ten trillion, seven hundred seventy-four billion, seven hundred twenty-eight million, seventy-one thousand, one hundred eighty-four".