5967312120 has 1152 divisors, whose sum is σ = 27427196160. Its totient is φ = 1149603840.

The previous prime is 5967312101. The next prime is 5967312179. The reversal of 5967312120 is 212137695.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89064327 + ... + 89064393.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 2^5967312120 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 5967312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

5967312120 is an abundant number, since it is smaller than the sum of its proper divisors (21459884040).

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

5967312120 is a wasteful number, since it uses less digits than its factorization.

5967312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5967312120 is about 77248.3794004767. The cubic root of 5967312120 is about 1813.8147031881.

The spelling of 5967312120 in words is "five billion, nine hundred sixty-seven million, three hundred twelve thousand, one hundred twenty".