56105668140 has 288 divisors, whose sum is σ = 174503476224. Its totient is φ = 13452902400.

The previous prime is 56105668117. The next prime is 56105668163. The reversal of 56105668140 is 4186650165.

It is an interprime number because it is at equal distance from previous prime (56105668117) and next prime (56105668163).

It is a super-2 number, since 2×56105668140² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56105668092 and 56105668101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35043340 + ... + 35044940.

It is an arithmetic number, because the mean of its divisors is an integer number (605914848).

Almost surely, 2^56105668140 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 56105668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87251738112).

56105668140 is an abundant number, since it is smaller than the sum of its proper divisors (118397808084).

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

56105668140 is a wasteful number, since it uses less digits than its factorization.

56105668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 56105668140 in words is "fifty-six billion, one hundred five million, six hundred sixty-eight thousand, one hundred forty".