56633077214208 has 2640 divisors, whose sum is σ = 204927901516800. Its totient is φ = 15511987814400.

The previous prime is 56633077214183. The next prime is 56633077214209. The reversal of 56633077214208 is 80241277033665.

It is a happy number.

56633077214208 is a `hidden beast` number, since 5 + 6 + 6 + 330 + 77 + 214 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56633077214209) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 636326710228 + ... + 636326710316.

It is an arithmetic number, because the mean of its divisors is an integer number (77624205120).

Almost surely, 2^{56633077214208} 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 56633077214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102463950758400).

56633077214208 is an abundant number, since it is smaller than the sum of its proper divisors (148294824302592).

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

56633077214208 is a wasteful number, since it uses less digits than its factorization.

56633077214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 56633077214208 in words is "fifty-six trillion, six hundred thirty-three billion, seventy-seven million, two hundred fourteen thousand, two hundred eight".