56566167114240 has 720 divisors, whose sum is σ = 229398851373120. Its totient is φ = 12843745689600.

The previous prime is 56566167114211. The next prime is 56566167114241. The reversal of 56566167114240 is 4241176166565.

56566167114240 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 616 + 7 + 1 + 14 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×56566167114240² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56566167114241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170307051 + ... + 170638869.

It is an arithmetic number, because the mean of its divisors is an integer number (318609515796).

Almost surely, 2^{56566167114240} 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 56566167114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114699425686560).

56566167114240 is an abundant number, since it is smaller than the sum of its proper divisors (172832684258880).

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

56566167114240 is a wasteful number, since it uses less digits than its factorization.

56566167114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332013 (or 331987 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56566167114240 in words is "fifty-six trillion, five hundred sixty-six billion, one hundred sixty-seven million, one hundred fourteen thousand, two hundred forty".