5034973741056 has 1440 divisors, whose sum is σ = 18360424857600. Its totient is φ = 1357786644480.

The previous prime is 5034973741051. The next prime is 5034973741073. The reversal of 5034973741056 is 6501473794305.

5034973741056 is a `hidden beast` number, since 50 + 34 + 97 + 374 + 105 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5034973740993 and 5034973741011.

It is not an unprimeable number, because it can be changed into a prime (5034973741051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39645462465 + ... + 39645462591.

It is an arithmetic number, because the mean of its divisors is an integer number (12750295040).

Almost surely, 2^{5034973741056} is an apocalyptic number.

5034973741056 is a gapful number since it is divisible by the number (56) 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 5034973741056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180212428800).

5034973741056 is an abundant number, since it is smaller than the sum of its proper divisors (13325451116544).

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

5034973741056 is a wasteful number, since it uses less digits than its factorization.

5034973741056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5034973741056 in words is "five trillion, thirty-four billion, nine hundred seventy-three million, seven hundred forty-one thousand, fifty-six".