5059676976000 has 512 divisors, whose sum is σ = 17225287372800. Its totient is φ = 1313335296000.

The previous prime is 5059676975981. The next prime is 5059676976001. The reversal of 5059676976000 is 6796769505.

It is a super-2 number, since 2×5059676976000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059676976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269222604 + ... + 269241396.

It is an arithmetic number, because the mean of its divisors is an integer number (33643139400).

Almost surely, 2^{5059676976000} is an apocalyptic number.

5059676976000 is a gapful number since it is divisible by the number (50) 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 5059676976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612643686400).

5059676976000 is an abundant number, since it is smaller than the sum of its proper divisors (12165610396800).

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

5059676976000 is a wasteful number, since it uses less digits than its factorization.

5059676976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975 (or 18953 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 60.

The spelling of 5059676976000 in words is "five trillion, fifty-nine billion, six hundred seventy-six million, nine hundred seventy-six thousand".