6056981314560 has 1408 divisors, whose sum is σ = 25574071680000. Its totient is φ = 1342923079680.

The previous prime is 6056981314537. The next prime is 6056981314577. The reversal of 6056981314560 is 654131896506.

6056981314560 is a `hidden beast` number, since 6 + 0 + 5 + 69 + 8 + 1 + 3 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 6056981314497 and 6056981314506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 837869026 + ... + 837876254.

Almost surely, 2^{6056981314560} is an apocalyptic number.

6056981314560 is a gapful number since it is divisible by the number (60) 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 6056981314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787035840000).

6056981314560 is an abundant number, since it is smaller than the sum of its proper divisors (19517090365440).

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

6056981314560 is a wasteful number, since it uses less digits than its factorization.

6056981314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7322 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 6056981314560 in words is "six trillion, fifty-six billion, nine hundred eighty-one million, three hundred fourteen thousand, five hundred sixty".