56006066010 has 64 divisors (see below), whose sum is σ = 137840330880. Its totient is φ = 14555089920.

The previous prime is 56006066009. The next prime is 56006066023. The reversal of 56006066010 is 1066060065.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 1148301 + ... + 1196079.

It is an arithmetic number, because the mean of its divisors is an integer number (2153755170).

Almost surely, 2^56006066010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56006066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68920165440).

56006066010 is an abundant number, since it is smaller than the sum of its proper divisors (81834264870).

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

56006066010 is a wasteful number, since it uses less digits than its factorization.

56006066010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48783.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 56006066010 in words is "fifty-six billion, six million, sixty-six thousand, ten".