1793771728056 has 960 divisors, whose sum is σ = 6460518113280. Its totient is φ = 455051520000.

The previous prime is 1793771728009. The next prime is 1793771728093. The reversal of 1793771728056 is 6508271773971.

1793771728056 is a `hidden beast` number, since 1 + 79 + 377 + 1 + 72 + 80 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1793771727984 and 1793771728002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7443036096 + ... + 7443036336.

It is an arithmetic number, because the mean of its divisors is an integer number (6729706368).

Almost surely, 2^{1793771728056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1793771728056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230259056640).

1793771728056 is an abundant number, since it is smaller than the sum of its proper divisors (4666746385224).

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

1793771728056 is a wasteful number, since it uses less digits than its factorization.

1793771728056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 1793771728056 in words is "one trillion, seven hundred ninety-three billion, seven hundred seventy-one million, seven hundred twenty-eight thousand, fifty-six".