5830721709120 has 2688 divisors, whose sum is σ = 26730794188800. Its totient is φ = 1140917944320.

The previous prime is 5830721709079. The next prime is 5830721709143. The reversal of 5830721709120 is 219071270385.

5830721709120 is a `hidden beast` number, since 5 + 8 + 307 + 217 + 0 + 9 + 120 = 666.

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 383 ways as a sum of consecutive naturals, for example, 45911194497 + ... + 45911194623.

Almost surely, 2^{5830721709120} 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 5830721709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365397094400).

5830721709120 is an abundant number, since it is smaller than the sum of its proper divisors (20900072479680).

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

5830721709120 is a wasteful number, since it uses less digits than its factorization.

5830721709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 243 counting only the distinct ones).

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

The spelling of 5830721709120 in words is "five trillion, eight hundred thirty billion, seven hundred twenty-one million, seven hundred nine thousand, one hundred twenty".