5170918072320 has 3136 divisors, whose sum is σ = 25125421757184. Its totient is φ = 986091356160.

The previous prime is 5170918072283. The next prime is 5170918072339. The reversal of 5170918072320 is 232708190715.

5170918072320 is a `hidden beast` number, since 5 + 170 + 91 + 8 + 0 + 72 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 29889699754 + ... + 29889699926.

Almost surely, 2^{5170918072320} 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 5170918072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12562710878592).

5170918072320 is an abundant number, since it is smaller than the sum of its proper divisors (19954503684864).

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

5170918072320 is a wasteful number, since it uses less digits than its factorization.

5170918072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 5170918072320 in words is "five trillion, one hundred seventy billion, nine hundred eighteen million, seventy-two thousand, three hundred twenty".