56330086426560 has 1120 divisors, whose sum is σ = 219342140740800. Its totient is φ = 13666156019712.

The previous prime is 56330086426513. The next prime is 56330086426561. The reversal of 56330086426560 is 6562468003365.

56330086426560 is a `hidden beast` number, since 5 + 6 + 3 + 30 + 0 + 8 + 6 + 42 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56330086426497 and 56330086426506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56330086426561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1837894116 + ... + 1837924764.

It is an arithmetic number, because the mean of its divisors is an integer number (195841197090).

Almost surely, 2^{56330086426560} 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 56330086426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109671070370400).

56330086426560 is an abundant number, since it is smaller than the sum of its proper divisors (163012054314240).

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

56330086426560 is a wasteful number, since it uses less digits than its factorization.

56330086426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30835 (or 30816 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 56330086426560 in words is "fifty-six trillion, three hundred thirty billion, eighty-six million, four hundred twenty-six thousand, five hundred sixty".