5318353797120 has 960 divisors, whose sum is σ = 23273650391040. Its totient is φ = 1122071740416.

The previous prime is 5318353797109. The next prime is 5318353797137. The reversal of 5318353797120 is 217973538135.

It is a happy number.

5318353797120 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 3 + 537 + 97 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5318353797120² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 201264229 + ... + 201290651.

It is an arithmetic number, because the mean of its divisors is an integer number (24243385824).

Almost surely, 2^{5318353797120} 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 5318353797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11636825195520).

5318353797120 is an abundant number, since it is smaller than the sum of its proper divisors (17955296593920).

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

5318353797120 is a wasteful number, since it uses less digits than its factorization.

5318353797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26485 (or 26453 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5318353797120 in words is "five trillion, three hundred eighteen billion, three hundred fifty-three million, seven hundred ninety-seven thousand, one hundred twenty".