5318973112320 has 2880 divisors, whose sum is σ = 24045211008000. Its totient is φ = 1123685498880.

The previous prime is 5318973112307. The next prime is 5318973112333. The reversal of 5318973112320 is 232113798135.

5318973112320 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 9 + 7 + 311 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (5318973112307) and next prime (5318973112333).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129731051500 + ... + 129731051540.

It is an arithmetic number, because the mean of its divisors is an integer number (8349031600).

Almost surely, 2^{5318973112320} 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 5318973112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022605504000).

5318973112320 is an abundant number, since it is smaller than the sum of its proper divisors (18726237895680).

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

5318973112320 is an frugal number, since it uses more digits than its factorization.

5318973112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 5318973112320 in words is "five trillion, three hundred eighteen billion, nine hundred seventy-three million, one hundred twelve thousand, three hundred twenty".