500485616467200 has 4536 divisors, whose sum is σ = 2376921755271168. Its totient is φ = 103321376686080.

The previous prime is 500485616467139. The next prime is 500485616467231. The reversal of 500485616467200 is 2764616584005.

500485616467200 is a `hidden beast` number, since 5 + 0 + 0 + 4 + 8 + 561 + 6 + 4 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 139683396609 + ... + 139683400191.

Almost surely, 2^{500485616467200} is an apocalyptic number.

500485616467200 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 500485616467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188460877635584).

500485616467200 is an abundant number, since it is smaller than the sum of its proper divisors (1876436138803968).

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

500485616467200 is a wasteful number, since it uses less digits than its factorization.

500485616467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 500485616467200 in words is "five hundred trillion, four hundred eighty-five billion, six hundred sixteen million, four hundred sixty-seven thousand, two hundred".