5729845173360 has 640 divisors, whose sum is σ = 23491726147584. Its totient is φ = 1118498734080.

The previous prime is 5729845173359. The next prime is 5729845173373. The reversal of 5729845173360 is 633715489275.

It is a happy number.

It is a super-2 number, since 2×5729845173360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5729845173294 and 5729845173303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171828849 + ... + 171862191.

It is a 1-persistent number, because it is pandigital, but 2⋅5729845173360 = 11459690346720 is not.

Almost surely, 2^{5729845173360} 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 5729845173360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745863073792).

5729845173360 is an abundant number, since it is smaller than the sum of its proper divisors (17761880974224).

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

5729845173360 is a wasteful number, since it uses less digits than its factorization.

5729845173360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33935 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 5729845173360 in words is "five trillion, seven hundred twenty-nine billion, eight hundred forty-five million, one hundred seventy-three thousand, three hundred sixty".