505803608100 has 216 divisors, whose sum is σ = 1812676564608. Its totient is φ = 115562764800.

The previous prime is 505803608087. The next prime is 505803608117. The reversal of 505803608100 is 1806308505.

505803608100 is a `hidden beast` number, since 5 + 0 + 580 + 3 + 60 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×505803608100² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15866377 + ... + 15898223.

Almost surely, 2^505803608100 is an apocalyptic number.

505803608100 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 505803608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906338282304).

505803608100 is an abundant number, since it is smaller than the sum of its proper divisors (1306872956508).

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

505803608100 is a wasteful number, since it uses less digits than its factorization.

505803608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34395 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 505803608100 in words is "five hundred five billion, eight hundred three million, six hundred eight thousand, one hundred".