5968528416 has 120 divisors (see below), whose sum is σ = 17585346240. Its totient is φ = 1985876352.

The previous prime is 5968528409. The next prime is 5968528429. The reversal of 5968528416 is 6148258695.

5968528416 is a `hidden beast` number, since 59 + 68 + 528 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1675245 + ... + 1678803.

It is an arithmetic number, because the mean of its divisors is an integer number (146544552).

Almost surely, 2^5968528416 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 5968528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792673120).

5968528416 is an abundant number, since it is smaller than the sum of its proper divisors (11616817824).

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

5968528416 is a wasteful number, since it uses less digits than its factorization.

5968528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4211 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 5968528416 is about 77256.2516305315. The cubic root of 5968528416 is about 1813.9379292823.

The spelling of 5968528416 in words is "five billion, nine hundred sixty-eight million, five hundred twenty-eight thousand, four hundred sixteen".