55664868672 has 252 divisors, whose sum is σ = 185867724276. Its totient is φ = 15881564160.

The previous prime is 55664868607. The next prime is 55664868713. The reversal of 55664868672 is 27686846655.

It is a happy number.

55664868672 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 486 + 86 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50150915136 + 5513953536 = 223944^2 + 74256^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 37283158 + ... + 37284650.

Almost surely, 2^55664868672 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 55664868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92933862138).

55664868672 is an abundant number, since it is smaller than the sum of its proper divisors (130202855604).

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

55664868672 is a wasteful number, since it uses less digits than its factorization.

55664868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2826 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 55664868672 in words is "fifty-five billion, six hundred sixty-four million, eight hundred sixty-eight thousand, six hundred seventy-two".