557125517671344 has 160 divisors (see below), whose sum is σ = 1650946869780480. Its totient is φ = 179695634457600.

The previous prime is 557125517671337. The next prime is 557125517671351. The reversal of 557125517671344 is 443176715521755.

It is a happy number.

557125517671344 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 2 + 5 + 517 + 6 + 71 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (557125517671337) and next prime (557125517671351).

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 31 ways as a sum of consecutive naturals, for example, 105646729 + ... + 110794775.

It is an arithmetic number, because the mean of its divisors is an integer number (10318417936128).

Almost surely, 2^{557125517671344} is an apocalyptic number.

557125517671344 is a gapful number since it is divisible by the number (54) 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 557125517671344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825473434890240).

557125517671344 is an abundant number, since it is smaller than the sum of its proper divisors (1093821352109136).

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

557125517671344 is a wasteful number, since it uses less digits than its factorization.

557125517671344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156176 (or 5156164 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 557125517671344 in words is "five hundred fifty-seven trillion, one hundred twenty-five billion, five hundred seventeen million, six hundred seventy-one thousand, three hundred forty-four".