506091123360 has 576 divisors, whose sum is σ = 1932267197952. Its totient is φ = 124613738496.

The previous prime is 506091123203. The next prime is 506091123389. The reversal of 506091123360 is 63321190605.

506091123360 is a `hidden beast` number, since 5 + 0 + 609 + 1 + 12 + 3 + 36 + 0 = 666.

It is a super-2 number, since 2×506091123360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 35023657 + ... + 35038103.

It is an arithmetic number, because the mean of its divisors is an integer number (3354630552).

Almost surely, 2^506091123360 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 506091123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966133598976).

506091123360 is an abundant number, since it is smaller than the sum of its proper divisors (1426176074592).

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

506091123360 is a wasteful number, since it uses less digits than its factorization.

506091123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14547 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 506091123360 in words is "five hundred six billion, ninety-one million, one hundred twenty-three thousand, three hundred sixty".