5112066960 has 960 divisors, whose sum is σ = 23749479936. Its totient is φ = 951091200.

The previous prime is 5112066913. The next prime is 5112066961. The reversal of 5112066960 is 696602115.

5112066960 is a `hidden beast` number, since 511 + 20 + 6 + 69 + 60 = 666.

It is a super-2 number, since 2×5112066960² = 52266457207047283200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5112066961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29549434 + ... + 29549606.

Almost surely, 2^5112066960 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 5112066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874739968).

5112066960 is an abundant number, since it is smaller than the sum of its proper divisors (18637412976).

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

5112066960 is a wasteful number, since it uses less digits than its factorization.

5112066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5112066960 is about 71498.7199885425. The cubic root of 5112066960 is about 1722.6571243511.

The spelling of 5112066960 in words is "five billion, one hundred twelve million, sixty-six thousand, nine hundred sixty".