66516113184 has 96 divisors (see below), whose sum is σ = 179063498880. Its totient is φ = 21607065600.

The previous prime is 66516113173. The next prime is 66516113281. The reversal of 66516113184 is 48131161566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694797 + ... + 3712755.

It is an arithmetic number, because the mean of its divisors is an integer number (1865244780).

Almost surely, 2^66516113184 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 66516113184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89531749440).

66516113184 is an abundant number, since it is smaller than the sum of its proper divisors (112547385696).

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

66516113184 is a wasteful number, since it uses less digits than its factorization.

66516113184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 18946 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

It can be divided in two parts, 66516 and 113184, that added together give a triangular number (179700 = T₅₉₉).

The spelling of 66516113184 in words is "sixty-six billion, five hundred sixteen million, one hundred thirteen thousand, one hundred eighty-four".