55634525568 has 512 divisors, whose sum is σ = 180051379200. Its totient is φ = 16860856320.

The previous prime is 55634525563. The next prime is 55634525647. The reversal of 55634525568 is 86552543655.

55634525568 is a `hidden beast` number, since 5 + 5 + 6 + 34 + 52 + 556 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55634525563) 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 63 ways as a sum of consecutive naturals, for example, 140137146 + ... + 140137542.

It is an arithmetic number, because the mean of its divisors is an integer number (351662850).

Almost surely, 2^55634525568 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 55634525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90025689600).

55634525568 is an abundant number, since it is smaller than the sum of its proper divisors (124416853632).

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

55634525568 is a wasteful number, since it uses less digits than its factorization.

55634525568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its digits is 21600000, while the sum is 54.

The spelling of 55634525568 in words is "fifty-five billion, six hundred thirty-four million, five hundred twenty-five thousand, five hundred sixty-eight".