55665367672320 has 1920 divisors, whose sum is σ = 247758867417600. Its totient is φ = 11772946612224.

The previous prime is 55665367672319. The next prime is 55665367672351. The reversal of 55665367672320 is 2327676356655.

55665367672320 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 536 + 7 + 6 + 72 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767070902 + ... + 2767091018.

It is an arithmetic number, because the mean of its divisors is an integer number (129041076780).

Almost surely, 2^{55665367672320} 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 55665367672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123879433708800).

55665367672320 is an abundant number, since it is smaller than the sum of its proper divisors (192093499745280).

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

55665367672320 is a wasteful number, since it uses less digits than its factorization.

55665367672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 63.

The spelling of 55665367672320 in words is "fifty-five trillion, six hundred sixty-five billion, three hundred sixty-seven million, six hundred seventy-two thousand, three hundred twenty".