557197033536 has 448 divisors, whose sum is σ = 1986535219200. Its totient is φ = 150829516800.

The previous prime is 557197033529. The next prime is 557197033537. The reversal of 557197033536 is 635330791755.

557197033536 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 9 + 70 + 33 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (557197033537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7623855 + ... + 7696593.

It is an arithmetic number, because the mean of its divisors is an integer number (4434230400).

Almost surely, 2^557197033536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557197033536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993267609600).

557197033536 is an abundant number, since it is smaller than the sum of its proper divisors (1429338185664).

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

557197033536 is a wasteful number, since it uses less digits than its factorization.

557197033536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72815 (or 72799 counting only the distinct ones).

The product of its (nonzero) digits is 8930250, while the sum is 54.

The spelling of 557197033536 in words is "five hundred fifty-seven billion, one hundred ninety-seven million, thirty-three thousand, five hundred thirty-six".