557442606244755 has 128 divisors (see below), whose sum is σ = 1114080762839040. Its totient is φ = 231228831997440.

The previous prime is 557442606244729. The next prime is 557442606244763.

557442606244755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557442606244755 - 2¹² = 557442606240659 is a prime.

It is a super-2 number, since 2×557442606244755² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9410031426 + ... + 9410090664.

It is an arithmetic number, because the mean of its divisors is an integer number (8703755959680).

Almost surely, 2^{557442606244755} is an apocalyptic number.

557442606244755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557442606244755 is a deficient number, since it is larger than the sum of its proper divisors (556638156594285).

557442606244755 is a wasteful number, since it uses less digits than its factorization.

557442606244755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74449.

The product of its (nonzero) digits is 1128960000, while the sum is 66.

The spelling of 557442606244755 in words is "five hundred fifty-seven trillion, four hundred forty-two billion, six hundred six million, two hundred forty-four thousand, seven hundred fifty-five".