6056709120000 has 2240 divisors, whose sum is σ = 28005965222400. Its totient is φ = 1256325120000.

The previous prime is 6056709119987. The next prime is 6056709120001. The reversal of 6056709120000 is 219076506.

6056709120000 is a `hidden beast` number, since 6 + 0 + 567 + 0 + 91 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6056709120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10644479716 + ... + 10644480284.

Almost surely, 2^{6056709120000} is an apocalyptic number.

6056709120000 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 6056709120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002982611200).

6056709120000 is an abundant number, since it is smaller than the sum of its proper divisors (21949256102400).

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

6056709120000 is an equidigital number, since it uses as much as digits as its factorization.

6056709120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 6056709120000 in words is "six trillion, fifty-six billion, seven hundred nine million, one hundred twenty thousand".