5283105037056 has 2304 divisors, whose sum is σ = 20949659136000. Its totient is φ = 1316818944000.

The previous prime is 5283105037043. The next prime is 5283105037057. The reversal of 5283105037056 is 6507305013825.

5283105037056 is a `hidden beast` number, since 5 + 2 + 83 + 10 + 503 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×5283105037056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283105037057) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 86608279266 + ... + 86608279326.

It is an arithmetic number, because the mean of its divisors is an integer number (9092734000).

Almost surely, 2^{5283105037056} is an apocalyptic number.

5283105037056 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 5283105037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10474829568000).

5283105037056 is an abundant number, since it is smaller than the sum of its proper divisors (15666554098944).

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

5283105037056 is an frugal number, since it uses more digits than its factorization.

5283105037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5283105037056 in words is "five trillion, two hundred eighty-three billion, one hundred five million, thirty-seven thousand, fifty-six".