503961103800 has 864 divisors, whose sum is σ = 2194866186240. Its totient is φ = 101331648000.

The previous prime is 503961103771. The next prime is 503961103817. The reversal of 503961103800 is 8301169305.

It is a happy number.

503961103800 is a `hidden beast` number, since 5 + 0 + 3 + 9 + 611 + 0 + 38 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47257269 + ... + 47267931.

Almost surely, 2^503961103800 is an apocalyptic number.

503961103800 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 503961103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097433093120).

503961103800 is an abundant number, since it is smaller than the sum of its proper divisors (1690905082440).

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

503961103800 is a wasteful number, since it uses less digits than its factorization.

503961103800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10745 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 503961103800 in words is "five hundred three billion, nine hundred sixty-one million, one hundred three thousand, eight hundred".