5930793895680 has 432 divisors, whose sum is σ = 21441110483520. Its totient is φ = 1510732726272.

The previous prime is 5930793895591. The next prime is 5930793895681. The reversal of 5930793895680 is 865983970395.

5930793895680 is a `hidden beast` number, since 59 + 3 + 0 + 7 + 9 + 3 + 8 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5930793895599 and 5930793895608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5930793895681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200559936 + ... + 200589504.

Almost surely, 2^{5930793895680} 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 5930793895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720555241760).

5930793895680 is an abundant number, since it is smaller than the sum of its proper divisors (15510316587840).

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

5930793895680 is a wasteful number, since it uses less digits than its factorization.

5930793895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30376 (or 30359 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 5930793895680 in words is "five trillion, nine hundred thirty billion, seven hundred ninety-three million, eight hundred ninety-five thousand, six hundred eighty".