6056856797184 has 360 divisors, whose sum is σ = 18876257389080. Its totient is φ = 1864296824832.

The previous prime is 6056856797177. The next prime is 6056856797207. The reversal of 6056856797184 is 4817976586506.

6056856797184 is a `hidden beast` number, since 6 + 0 + 56 + 8 + 567 + 9 + 7 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1424375414784 + 4632481382400 = 1193472^2 + 2152320^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132835062 + ... + 132880650.

It is an arithmetic number, because the mean of its divisors is an integer number (52434048303).

Almost surely, 2^{6056856797184} is an apocalyptic number.

6056856797184 is a gapful number since it is divisible by the number (64) 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 6056856797184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438128694540).

6056856797184 is an abundant number, since it is smaller than the sum of its proper divisors (12819400591896).

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

6056856797184 is a wasteful number, since it uses less digits than its factorization.

6056856797184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45693 (or 45664 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 6056856797184 in words is "six trillion, fifty-six billion, eight hundred fifty-six million, seven hundred ninety-seven thousand, one hundred eighty-four".