56146626461120 has 224 divisors, whose sum is σ = 144558816393600. Its totient is φ = 20648393441280.

The previous prime is 56146626461041. The next prime is 56146626461147. The reversal of 56146626461120 is 2116462664165.

56146626461120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293709181 + ... + 1293752579.

It is an arithmetic number, because the mean of its divisors is an integer number (645351858900).

Almost surely, 2^{56146626461120} 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 56146626461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72279408196800).

56146626461120 is an abundant number, since it is smaller than the sum of its proper divisors (88412189932480).

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

56146626461120 is a wasteful number, since it uses less digits than its factorization.

56146626461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44663 (or 44653 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 56146626461120 in words is "fifty-six trillion, one hundred forty-six billion, six hundred twenty-six million, four hundred sixty-one thousand, one hundred twenty".