6057056000010 has 64 divisors (see below), whose sum is σ = 15169546211328. Its totient is φ = 1544930021184.

The previous prime is 6057055999793. The next prime is 6057056000081. The reversal of 6057056000010 is 100006507506.

It is a super-2 number, since 2×6057056000010² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19944159 + ... + 20245581.

It is an arithmetic number, because the mean of its divisors is an integer number (237024159552).

Almost surely, 2^{6057056000010} is an apocalyptic number.

6057056000010 is the 2009487-th pentagonal number.

6057056000010 is an abundant number, since it is smaller than the sum of its proper divisors (9112490211318).

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

6057056000010 is a wasteful number, since it uses less digits than its factorization.

6057056000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330579.

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 6057056000010 in words is "six trillion, fifty-seven billion, fifty-six million, ten", and thus it is an aban number and an uban number.