538784540833056 has 480 divisors, whose sum is σ = 1659033806713920. Its totient is φ = 153091384363008.

The previous prime is 538784540833051. The next prime is 538784540833111. The reversal of 538784540833056 is 650338045487835.

It is not an unprimeable number, because it can be changed into a prime (538784540833051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31113032910 + ... + 31113050226.

It is an arithmetic number, because the mean of its divisors is an integer number (3456320430654).

Almost surely, 2^{538784540833056} is an apocalyptic number.

538784540833056 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 538784540833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829516903356960).

538784540833056 is an abundant number, since it is smaller than the sum of its proper divisors (1120249265880864).

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

538784540833056 is a wasteful number, since it uses less digits than its factorization.

538784540833056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18094 (or 18065 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 69.

The spelling of 538784540833056 in words is "five hundred thirty-eight trillion, seven hundred eighty-four billion, five hundred forty million, eight hundred thirty-three thousand, fifty-six".