3057056133120 has 1248 divisors, whose sum is σ = 12357800230464. Its totient is φ = 696558551040.

The previous prime is 3057056133113. The next prime is 3057056133133. The reversal of 3057056133120 is 213316507503.

3057056133120 is a `hidden beast` number, since 3 + 0 + 5 + 7 + 0 + 5 + 613 + 31 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4170608274 + ... + 4170609006.

It is an arithmetic number, because the mean of its divisors is an integer number (9902083518).

Almost surely, 2^{3057056133120} is an apocalyptic number.

3057056133120 is a gapful number since it is divisible by the number (30) 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 3057056133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178900115232).

3057056133120 is an abundant number, since it is smaller than the sum of its proper divisors (9300744097344).

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

3057056133120 is a wasteful number, since it uses less digits than its factorization.

3057056133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 3057056133120 in words is "three trillion, fifty-seven billion, fifty-six million, one hundred thirty-three thousand, one hundred twenty".