503603473730400 has 864 divisors, whose sum is σ = 1833506258088960. Its totient is φ = 129985772544000.

The previous prime is 503603473730363. The next prime is 503603473730417. The reversal of 503603473730400 is 4037374306305.

503603473730400 is a `hidden beast` number, since 5 + 0 + 3 + 603 + 4 + 7 + 3 + 7 + 30 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75131053449 + ... + 75131060151.

It is an arithmetic number, because the mean of its divisors is an integer number (2122113724640).

Almost surely, 2^{503603473730400} is an apocalyptic number.

503603473730400 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 503603473730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916753129044480).

503603473730400 is an abundant number, since it is smaller than the sum of its proper divisors (1329902784358560).

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

503603473730400 is a wasteful number, since it uses less digits than its factorization.

503603473730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8740 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 45.

The spelling of 503603473730400 in words is "five hundred three trillion, six hundred three billion, four hundred seventy-three million, seven hundred thirty thousand, four hundred".