557265455735040 has 3456 divisors, whose sum is σ = 2386583426304000. Its totient is φ = 122523857584128.

The previous prime is 557265455734853. The next prime is 557265455735063. The reversal of 557265455735040 is 40537554562755.

It is a happy number.

557265455735040 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 6 + 5 + 4 + 5 + 573 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138382281507 + ... + 138382285533.

It is an arithmetic number, because the mean of its divisors is an integer number (690562334000).

Almost surely, 2^{557265455735040} 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 557265455735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193291713152000).

557265455735040 is an abundant number, since it is smaller than the sum of its proper divisors (1829317970568960).

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

557265455735040 is a wasteful number, since it uses less digits than its factorization.

557265455735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 441000000, while the sum is 63.

The spelling of 557265455735040 in words is "five hundred fifty-seven trillion, two hundred sixty-five billion, four hundred fifty-five million, seven hundred thirty-five thousand, forty".