508470400560000 has 320 divisors, whose sum is σ = 1761120412571520. Its totient is φ = 129696796416000.

The previous prime is 508470400559983. The next prime is 508470400560029. The reversal of 508470400560000 is 65004074805.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40537102 + ... + 51577101.

It is an arithmetic number, because the mean of its divisors is an integer number (5503501289286).

Almost surely, 2^{508470400560000} is an apocalyptic number.

508470400560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

508470400560000 is an abundant number, since it is smaller than the sum of its proper divisors (1252650012011520).

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

508470400560000 is an equidigital number, since it uses as much as digits as its factorization.

508470400560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92114263 (or 92114236 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 508470400560000 in words is "five hundred eight trillion, four hundred seventy billion, four hundred million, five hundred sixty thousand".