503401755431504 has 240 divisors, whose sum is σ = 1059230459768832. Its totient is φ = 231316229050368.

The previous prime is 503401755431483. The next prime is 503401755431507. The reversal of 503401755431504 is 405134557104305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503401755431507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54169989482 + ... + 54169998774.

Almost surely, 2^{503401755431504} 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 503401755431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529615229884416).

503401755431504 is an abundant number, since it is smaller than the sum of its proper divisors (555828704337328).

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

503401755431504 is a wasteful number, since it uses less digits than its factorization.

503401755431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 47.

The spelling of 503401755431504 in words is "five hundred three trillion, four hundred one billion, seven hundred fifty-five million, four hundred thirty-one thousand, five hundred four".