505599380352 has 512 divisors, whose sum is σ = 1662857856000. Its totient is φ = 149946163200.

The previous prime is 505599380347. The next prime is 505599380369. The reversal of 505599380352 is 253083995505.

505599380352 is a `hidden beast` number, since 5 + 0 + 559 + 9 + 3 + 80 + 3 + 5 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 609890274 + ... + 609891102.

It is an arithmetic number, because the mean of its divisors is an integer number (3247769250).

Almost surely, 2^505599380352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505599380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831428928000).

505599380352 is an abundant number, since it is smaller than the sum of its proper divisors (1157258475648).

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

505599380352 is a wasteful number, since it uses less digits than its factorization.

505599380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 505599380352 in words is "five hundred five billion, five hundred ninety-nine million, three hundred eighty thousand, three hundred fifty-two".