5059893883968 has 1344 divisors, whose sum is σ = 19970496000000. Its totient is φ = 1229747650560.

The previous prime is 5059893883939. The next prime is 5059893884033. The reversal of 5059893883968 is 8693883989505.

5059893883968 is a `hidden beast` number, since 50 + 5 + 98 + 93 + 8 + 8 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5059893883968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 191 ways as a sum of consecutive naturals, for example, 4051155408 + ... + 4051156656.

It is an arithmetic number, because the mean of its divisors is an integer number (14859000000).

Almost surely, 2^{5059893883968} 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 5059893883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985248000000).

5059893883968 is an abundant number, since it is smaller than the sum of its proper divisors (14910602116032).

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

5059893883968 is a wasteful number, since it uses less digits than its factorization.

5059893883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 5059893883968 in words is "five trillion, fifty-nine billion, eight hundred ninety-three million, eight hundred eighty-three thousand, nine hundred sixty-eight".