6059457313056 has 360 divisors, whose sum is σ = 20738375768880. Its totient is φ = 1730590541568.

The previous prime is 6059457313051. The next prime is 6059457313061. The reversal of 6059457313056 is 6503137549506.

6059457313056 is a `hidden beast` number, since 6 + 0 + 5 + 9 + 4 + 573 + 13 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (6059457313051) and next prime (6059457313061).

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 = 6059457312993 and 6059457313011.

It is not an unprimeable number, because it can be changed into a prime (6059457313051) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 383429251 + ... + 383445053.

It is an arithmetic number, because the mean of its divisors is an integer number (57606599358).

Almost surely, 2^{6059457313056} 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 6059457313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369187884440).

6059457313056 is an abundant number, since it is smaller than the sum of its proper divisors (14678918455824).

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

6059457313056 is a wasteful number, since it uses less digits than its factorization.

6059457313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18858 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 6059457313056 in words is "six trillion, fifty-nine billion, four hundred fifty-seven million, three hundred thirteen thousand, fifty-six".