56089726560 has 864 divisors, whose sum is σ = 241049390400. Its totient is φ = 12039487488.

The previous prime is 56089726541. The next prime is 56089726591. The reversal of 56089726560 is 6562798065.

It is a happy number.

56089726560 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 9 + 72 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 56089726497 and 56089726506.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 124921216 + ... + 124921664.

It is an arithmetic number, because the mean of its divisors is an integer number (278992350).

Almost surely, 2^56089726560 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 56089726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120524695200).

56089726560 is an abundant number, since it is smaller than the sum of its proper divisors (184959663840).

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

56089726560 is an equidigital number, since it uses as much as digits as its factorization.

56089726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56089726560 in words is "fifty-six billion, eighty-nine million, seven hundred twenty-six thousand, five hundred sixty".