503855134020 has 384 divisors, whose sum is σ = 1863891025920. Its totient is φ = 110570987520.

The previous prime is 503855134009. The next prime is 503855134021. The reversal of 503855134020 is 20431558305.

503855134020 is a `hidden beast` number, since 5 + 0 + 3 + 85 + 513 + 40 + 20 = 666.

It is a super-2 number, since 2×503855134020² (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 not an unprimeable number, because it can be changed into a prime (503855134021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 14864932 + ... + 14898788.

It is an arithmetic number, because the mean of its divisors is an integer number (4853882880).

Almost surely, 2^503855134020 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 503855134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931945512960).

503855134020 is an abundant number, since it is smaller than the sum of its proper divisors (1360035891900).

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

503855134020 is a wasteful number, since it uses less digits than its factorization.

503855134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34040 (or 34032 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 503855134020 in words is "five hundred three billion, eight hundred fifty-five million, one hundred thirty-four thousand, twenty".