504475535040000 has 800 divisors, whose sum is σ = 1726019199680160. Its totient is φ = 130798043136000.

The previous prime is 504475535039953. The next prime is 504475535040007. The reversal of 504475535040000 is 40535574405.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504475535040007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60135355806 + ... + 60135364194.

Almost surely, 2^{504475535040000} is an apocalyptic number.

504475535040000 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 504475535040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863009599840080).

504475535040000 is an abundant number, since it is smaller than the sum of its proper divisors (1221543664640160).

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

504475535040000 is an equidigital number, since it uses as much as digits as its factorization.

504475535040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 42.

The spelling of 504475535040000 in words is "five hundred four trillion, four hundred seventy-five billion, five hundred thirty-five million, forty thousand".