56289709056 has 352 divisors, whose sum is σ = 177426754560. Its totient is φ = 15530655744.

The previous prime is 56289709051. The next prime is 56289709067. The reversal of 56289709056 is 65090798265.

It is a super-2 number, since 2×56289709056² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56289708987 and 56289709005.

It is not an unprimeable number, because it can be changed into a prime (56289709051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209255290 + ... + 209255558.

It is an arithmetic number, because the mean of its divisors is an integer number (504053280).

Almost surely, 2^56289709056 is an apocalyptic number.

56289709056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56289709056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88713377280).

56289709056 is an abundant number, since it is smaller than the sum of its proper divisors (121137045504).

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

56289709056 is a wasteful number, since it uses less digits than its factorization.

56289709056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 56289709056 in words is "fifty-six billion, two hundred eighty-nine million, seven hundred nine thousand, fifty-six".