5133218546880 has 336 divisors, whose sum is σ = 18314638995744. Its totient is φ = 1368516280320.

The previous prime is 5133218546879. The next prime is 5133218546917. The reversal of 5133218546880 is 886458123315.

5133218546880 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 2 + 18 + 546 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531329250 + ... + 531338910.

It is an arithmetic number, because the mean of its divisors is an integer number (54507854154).

Almost surely, 2^{5133218546880} 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 5133218546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157319497872).

5133218546880 is an abundant number, since it is smaller than the sum of its proper divisors (13181420448864).

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

5133218546880 is an equidigital number, since it uses as much as digits as its factorization.

5133218546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526 (or 16504 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5133218546880 in words is "five trillion, one hundred thirty-three billion, two hundred eighteen million, five hundred forty-six thousand, eight hundred eighty".