557197286400 has 396 divisors, whose sum is σ = 2010368017944. Its totient is φ = 147443712000.

The previous prime is 557197286389. The next prime is 557197286407. The reversal of 557197286400 is 4682791755.

557197286400 is a `hidden beast` number, since 5 + 5 + 71 + 97 + 2 + 86 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557197286407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 30173170 + ... + 30191630.

It is an arithmetic number, because the mean of its divisors is an integer number (5076686914).

Almost surely, 2^557197286400 is an apocalyptic number.

557197286400 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 557197286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005184008972).

557197286400 is an abundant number, since it is smaller than the sum of its proper divisors (1453170731544).

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

557197286400 is a wasteful number, since it uses less digits than its factorization.

557197286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18628 (or 18602 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 557197286400 in words is "five hundred fifty-seven billion, one hundred ninety-seven million, two hundred eighty-six thousand, four hundred".