56561677120 has 224 divisors, whose sum is σ = 149379310080. Its totient is φ = 20387727360.

The previous prime is 56561677091. The next prime is 56561677129. The reversal of 56561677120 is 2177616565.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56561677129) 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 31 ways as a sum of consecutive naturals, for example, 30229785 + ... + 30231655.

It is an arithmetic number, because the mean of its divisors is an integer number (666871920).

Almost surely, 2^56561677120 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 56561677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74689655040).

56561677120 is an abundant number, since it is smaller than the sum of its proper divisors (92817632960).

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

56561677120 is a wasteful number, since it uses less digits than its factorization.

56561677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 46.

The spelling of 56561677120 in words is "fifty-six billion, five hundred sixty-one million, six hundred seventy-seven thousand, one hundred twenty".