557460273600 has 2016 divisors, whose sum is σ = 2402051258880. Its totient is φ = 126127964160.

The previous prime is 557460273563. The next prime is 557460273613. The reversal of 557460273600 is 6372064755.

557460273600 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 602 + 7 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 2888395104 + ... + 2888395296.

It is an arithmetic number, because the mean of its divisors is an integer number (1191493680).

Almost surely, 2^557460273600 is an apocalyptic number.

557460273600 is a gapful number since it is divisible by the number (50) 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 557460273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201025629440).

557460273600 is an abundant number, since it is smaller than the sum of its proper divisors (1844590985280).

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

557460273600 is a wasteful number, since it uses less digits than its factorization.

557460273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 557460273600 in words is "five hundred fifty-seven billion, four hundred sixty million, two hundred seventy-three thousand, six hundred".