506663091900 has 1512 divisors, whose sum is σ = 2040876094320. Its totient is φ = 108637562880.

The previous prime is 506663091841. The next prime is 506663091953. The reversal of 506663091900 is 9190366605.

It is a super-2 number, since 2×506663091900² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 6940590264 + ... + 6940590336.

Almost surely, 2^506663091900 is an apocalyptic number.

506663091900 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 506663091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020438047160).

506663091900 is an abundant number, since it is smaller than the sum of its proper divisors (1534213002420).

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

506663091900 is a wasteful number, since it uses less digits than its factorization.

506663091900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 506663091900 in words is "five hundred six billion, six hundred sixty-three million, ninety-one thousand, nine hundred".