505087672320 has 2160 divisors, whose sum is σ = 2349560618496. Its totient is φ = 99090432000.

The previous prime is 505087672301. The next prime is 505087672321. The reversal of 505087672320 is 23276780505.

505087672320 is a `hidden beast` number, since 5 + 0 + 508 + 76 + 72 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×505087672320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (505087672321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12319211500 + ... + 12319211540.

Almost surely, 2^505087672320 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 505087672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174780309248).

505087672320 is an abundant number, since it is smaller than the sum of its proper divisors (1844472946176).

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

505087672320 is a wasteful number, since it uses less digits than its factorization.

505087672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 505087672320 in words is "five hundred five billion, eighty-seven million, six hundred seventy-two thousand, three hundred twenty".