505532416000 has 256 divisors, whose sum is σ = 1277850712320. Its totient is φ = 199642316800.

The previous prime is 505532415991. The next prime is 505532416001. The reversal of 505532416000 is 614235505.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (505532416001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339967257 + ... + 339968743.

It is an arithmetic number, because the mean of its divisors is an integer number (4991604345).

Almost surely, 2^505532416000 is an apocalyptic number.

505532416000 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 505532416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638925356160).

505532416000 is an abundant number, since it is smaller than the sum of its proper divisors (772318296320).

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

505532416000 is an frugal number, since it uses more digits than its factorization.

505532416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 505532416000 in words is "five hundred five billion, five hundred thirty-two million, four hundred sixteen thousand".