56519061728220 has 1152 divisors, whose sum is σ = 234154902159360. Its totient is φ = 10700146759680.

The previous prime is 56519061728177. The next prime is 56519061728281. The reversal of 56519061728220 is 2282716091565.

56519061728220 is a `hidden beast` number, since 5 + 6 + 5 + 19 + 0 + 617 + 2 + 8 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 453385219 + ... + 453509861.

It is an arithmetic number, because the mean of its divisors is an integer number (203259463680).

Almost surely, 2^{56519061728220} 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 56519061728220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117077451079680).

56519061728220 is an abundant number, since it is smaller than the sum of its proper divisors (177635840431140).

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

56519061728220 is a wasteful number, since it uses less digits than its factorization.

56519061728220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124775 (or 124770 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56519061728220 in words is "fifty-six trillion, five hundred nineteen billion, sixty-one million, seven hundred twenty-eight thousand, two hundred twenty".