4516511920 has 20 divisors (see below), whose sum is σ = 10500890400. Its totient is φ = 1806604736.

The previous prime is 4516511911. The next prime is 4516511933. The reversal of 4516511920 is 291156154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 28228120 + ... + 28228279.

It is an arithmetic number, because the mean of its divisors is an integer number (525044520).

Almost surely, 2^4516511920 is an apocalyptic number.

4516511920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4516511920 is an abundant number, since it is smaller than the sum of its proper divisors (5984378480).

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

4516511920 is a wasteful number, since it uses less digits than its factorization.

4516511920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56456412 (or 56456406 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 4516511920 is about 67204.9992188081. Note that the first 3 decimals coincide. The cubic root of 4516511920 is about 1652.9804618204.

The spelling of 4516511920 in words is "four billion, five hundred sixteen million, five hundred eleven thousand, nine hundred twenty".