5233809285120 has 896 divisors, whose sum is σ = 18954446321664. Its totient is φ = 1223493156864.

The previous prime is 5233809285059. The next prime is 5233809285121. The reversal of 5233809285120 is 215829083325.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5233809285120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233809285121) 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 63 ways as a sum of consecutive naturals, for example, 6135766614 + ... + 6135767466.

It is an arithmetic number, because the mean of its divisors is an integer number (21154515984).

Almost surely, 2^{5233809285120} 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 5233809285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477223160832).

5233809285120 is an abundant number, since it is smaller than the sum of its proper divisors (13720637036544).

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

5233809285120 is a wasteful number, since it uses less digits than its factorization.

5233809285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 5233809285120 in words is "five trillion, two hundred thirty-three billion, eight hundred nine million, two hundred eighty-five thousand, one hundred twenty".