505363040100 has 216 divisors, whose sum is σ = 1624631141952. Its totient is φ = 131343264000.

The previous prime is 505363040099. The next prime is 505363040111. The reversal of 505363040100 is 1040363505.

505363040100 is a `hidden beast` number, since 50 + 536 + 30 + 40 + 10 + 0 = 666.

It is a super-2 number, since 2×505363040100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7167619 + ... + 7237781.

It is an arithmetic number, because the mean of its divisors is an integer number (7521440472).

Almost surely, 2^505363040100 is an apocalyptic number.

505363040100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505363040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812315570976).

505363040100 is an abundant number, since it is smaller than the sum of its proper divisors (1119268101852).

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

505363040100 is a wasteful number, since it uses less digits than its factorization.

505363040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70387 (or 70377 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 505363040100 in words is "five hundred five billion, three hundred sixty-three million, forty thousand, one hundred".