504013153120000 has 180 divisors, whose sum is σ = 1263751573746816. Its totient is φ = 200549724160000.

The previous prime is 504013153119947. The next prime is 504013153120021. The reversal of 504013153120000 is 21351310405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22313712 + ... + 38806288.

Almost surely, 2^{504013153120000} is an apocalyptic number.

504013153120000 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 504013153120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631875786873408).

504013153120000 is an abundant number, since it is smaller than the sum of its proper divisors (759738420626816).

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

504013153120000 is an equidigital number, since it uses as much as digits as its factorization.

504013153120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492804 (or 16492775 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 504013153120000 in words is "five hundred four trillion, thirteen billion, one hundred fifty-three million, one hundred twenty thousand".