5073064888320 has 2304 divisors, whose sum is σ = 21906517651200. Its totient is φ = 1109671280640.

The previous prime is 5073064888279. The next prime is 5073064888321. The reversal of 5073064888320 is 238884603705.

5073064888320 is a `hidden beast` number, since 5 + 0 + 7 + 306 + 4 + 8 + 8 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×5073064888320² (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 not an unprimeable number, because it can be changed into a prime (5073064888321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18858977146 + ... + 18858977414.

It is an arithmetic number, because the mean of its divisors is an integer number (9508037175).

Almost surely, 2^{5073064888320} 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 5073064888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953258825600).

5073064888320 is an abundant number, since it is smaller than the sum of its proper divisors (16833452762880).

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

5073064888320 is a wasteful number, since it uses less digits than its factorization.

5073064888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5073064888320 in words is "five trillion, seventy-three billion, sixty-four million, eight hundred eighty-eight thousand, three hundred twenty".