557363773440 has 1080 divisors, whose sum is σ = 2159192474712. Its totient is φ = 137594142720.

The previous prime is 557363773433. The next prime is 557363773511. The reversal of 557363773440 is 44377363755.

557363773440 is a `hidden beast` number, since 5 + 5 + 73 + 63 + 7 + 73 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15479341056 + 541884432384 = 124416^2 + 736128^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9137111010 + ... + 9137111070.

Almost surely, 2^557363773440 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 557363773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079596237356).

557363773440 is an abundant number, since it is smaller than the sum of its proper divisors (1601828701272).

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

557363773440 is an frugal number, since it uses more digits than its factorization.

557363773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 54.

The spelling of 557363773440 in words is "five hundred fifty-seven billion, three hundred sixty-three million, seven hundred seventy-three thousand, four hundred forty".