5958268680 has 384 divisors, whose sum is σ = 23373100800. Its totient is φ = 1202116608.

The previous prime is 5958268637. The next prime is 5958268709. The reversal of 5958268680 is 868628595.

It is a self number, because there is not a number n which added to its sum of digits gives 5958268680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756426 + ... + 1759814.

It is an arithmetic number, because the mean of its divisors is an integer number (60867450).

Almost surely, 2^5958268680 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 5958268680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686550400).

5958268680 is an abundant number, since it is smaller than the sum of its proper divisors (17414832120).

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

5958268680 is a wasteful number, since it uses less digits than its factorization.

5958268680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The square root of 5958268680 is about 77189.8223861151. The cubic root of 5958268680 is about 1812.8979633793.

The spelling of 5958268680 in words is "five billion, nine hundred fifty-eight million, two hundred sixty-eight thousand, six hundred eighty".