51066584912160 has 144 divisors (see below), whose sum is σ = 174328544295360. Its totient is φ = 13612768565760.

The previous prime is 51066584912153. The next prime is 51066584912179. The reversal of 51066584912160 is 6121948566015.

It is a happy number.

51066584912160 is a `hidden beast` number, since 5 + 10 + 6 + 65 + 8 + 491 + 21 + 60 = 666.

51066584912160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 51066584912097 and 51066584912106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560020 + ... + 10425299.

It is an arithmetic number, because the mean of its divisors is an integer number (1210614890940).

Almost surely, 2^{51066584912160} 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 51066584912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87164272147680).

51066584912160 is an abundant number, since it is smaller than the sum of its proper divisors (123261959383200).

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

51066584912160 is a wasteful number, since it uses less digits than its factorization.

51066584912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988071 (or 12988060 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 51066584912160 in words is "fifty-one trillion, sixty-six billion, five hundred eighty-four million, nine hundred twelve thousand, one hundred sixty".