557946649755 has 96 divisors (see below), whose sum is σ = 1121551591680. Its totient is φ = 253743840000.

The previous prime is 557946649643. The next prime is 557946649759.

It is a happy number.

557946649755 is a `hidden beast` number, since 5 + 5 + 79 + 4 + 66 + 497 + 5 + 5 = 666.

557946649755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557946649755 - 2¹¹ = 557946647707 is a prime.

It is a super-2 number, since 2×557946649755² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557946649759) 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 95 ways as a sum of consecutive naturals, for example, 656220 + ... + 1243590.

It is an arithmetic number, because the mean of its divisors is an integer number (11682829080).

Almost surely, 2^557946649755 is an apocalyptic number.

557946649755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557946649755 is an abundant number, since it is smaller than the sum of its proper divisors (563604941925).

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

557946649755 is a wasteful number, since it uses less digits than its factorization.

557946649755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587513 (or 587510 counting only the distinct ones).

The product of its digits is 1428840000, while the sum is 72.

The spelling of 557946649755 in words is "five hundred fifty-seven billion, nine hundred forty-six million, six hundred forty-nine thousand, seven hundred fifty-five".