557531120790 has 256 divisors, whose sum is σ = 1746531072000. Its totient is φ = 123887356416.

The previous prime is 557531120789. The next prime is 557531120837. The reversal of 557531120790 is 97021135755.

557531120790 is a `hidden beast` number, since 5 + 5 + 7 + 531 + 1 + 20 + 7 + 90 = 666.

It is a super-3 number, since 3×557531120790³ (a number of 36 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108318997 + ... + 108324143.

It is an arithmetic number, because the mean of its divisors is an integer number (6822387000).

Almost surely, 2^557531120790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557531120790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873265536000).

557531120790 is an abundant number, since it is smaller than the sum of its proper divisors (1188999951210).

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

557531120790 is a wasteful number, since it uses less digits than its factorization.

557531120790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 557531120790 in words is "five hundred fifty-seven billion, five hundred thirty-one million, one hundred twenty thousand, seven hundred ninety".