504105254400000 has 624 divisors, whose sum is σ = 1832770478681856. Its totient is φ = 122207232000000.

The previous prime is 504105254399963. The next prime is 504105254400031. The reversal of 504105254400000 is 4452501405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421803285 + ... + 422996715.

Almost surely, 2^{504105254400000} is an apocalyptic number.

504105254400000 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 504105254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916385239340928).

504105254400000 is an abundant number, since it is smaller than the sum of its proper divisors (1328665224281856).

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

504105254400000 is an equidigital number, since it uses as much as digits as its factorization.

504105254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193494 (or 1193452 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 504105254400000 in words is "five hundred four trillion, one hundred five billion, two hundred fifty-four million, four hundred thousand".