5968145016 has 128 divisors (see below), whose sum is σ = 17309160000. Its totient is φ = 1902942720.

The previous prime is 5968144991. The next prime is 5968145063. The reversal of 5968145016 is 6105418695.

5968145016 is a `hidden beast` number, since 596 + 8 + 1 + 4 + 50 + 1 + 6 = 666.

It is a super-3 number, since 3×5968145016³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678406 + ... + 687146.

Almost surely, 2^5968145016 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 5968145016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654580000).

5968145016 is an abundant number, since it is smaller than the sum of its proper divisors (11341014984).

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

5968145016 is a wasteful number, since it uses less digits than its factorization.

5968145016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5968145016 is about 77253.7702380926. The cubic root of 5968145016 is about 1813.8990878434.

The spelling of 5968145016 in words is "five billion, nine hundred sixty-eight million, one hundred forty-five thousand, sixteen".