5040120960 has 192 divisors, whose sum is σ = 19890636480. Its totient is φ = 1152018432.

The previous prime is 5040120947. The next prime is 5040120971. The reversal of 5040120960 is 690210405.

5040120960 is a `hidden beast` number, since 50 + 401 + 209 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22182 + ... + 102821.

It is an arithmetic number, because the mean of its divisors is an integer number (103597065).

Almost surely, 2^5040120960 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 5040120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945318240).

5040120960 is an abundant number, since it is smaller than the sum of its proper divisors (14850515520).

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

5040120960 is a wasteful number, since it uses less digits than its factorization.

5040120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125035 (or 125020 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5040120960 is about 70993.8093075727. The cubic root of 5040120960 is about 1714.5374925432.

The spelling of 5040120960 in words is "five billion, forty million, one hundred twenty thousand, nine hundred sixty".