56673806112 has 288 divisors, whose sum is σ = 209768408640. Its totient is φ = 14720348160.

The previous prime is 56673806107. The next prime is 56673806143. The reversal of 56673806112 is 21160837665.

56673806112 is a `hidden beast` number, since 566 + 7 + 3 + 80 + 6 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404848 + ... + 526544.

It is an arithmetic number, because the mean of its divisors is an integer number (728362530).

Almost surely, 2^56673806112 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 56673806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104884204320).

56673806112 is an abundant number, since it is smaller than the sum of its proper divisors (153094602528).

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

56673806112 is a wasteful number, since it uses less digits than its factorization.

56673806112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121741 (or 121720 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56673806112 in words is "fifty-six billion, six hundred seventy-three million, eight hundred six thousand, one hundred twelve".