51627044367360 has 2112 divisors, whose sum is σ = 236743037107200. Its totient is φ = 10161476075520.

The previous prime is 51627044367331. The next prime is 51627044367383. The reversal of 51627044367360 is 6376344072615.

51627044367360 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 70 + 443 + 6 + 73 + 60 = 666.

51627044367360 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 (2112).

It is a junction number, because it is equal to n+sod(n) for n = 51627044367297 and 51627044367306.

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 191 ways as a sum of consecutive naturals, for example, 8157216676 + ... + 8157223004.

Almost surely, 2^{51627044367360} 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 51627044367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118371518553600).

51627044367360 is an abundant number, since it is smaller than the sum of its proper divisors (185115992739840).

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

51627044367360 is a wasteful number, since it uses less digits than its factorization.

51627044367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 51627044367360 in words is "fifty-one trillion, six hundred twenty-seven billion, forty-four million, three hundred sixty-seven thousand, three hundred sixty".