505380447936 has 1792 divisors, whose sum is σ = 2031869952000. Its totient is φ = 119499079680.

The previous prime is 505380447893. The next prime is 505380447977. The reversal of 505380447936 is 639744083505.

505380447936 is a `hidden beast` number, since 5 + 0 + 538 + 0 + 4 + 4 + 79 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8284925346 + ... + 8284925406.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856000).

Almost surely, 2^505380447936 is an apocalyptic number.

505380447936 is a gapful number since it is divisible by the number (56) 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 505380447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015934976000).

505380447936 is an abundant number, since it is smaller than the sum of its proper divisors (1526489504064).

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

505380447936 is a wasteful number, since it uses less digits than its factorization.

505380447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 505380447936 in words is "five hundred five billion, three hundred eighty million, four hundred forty-seven thousand, nine hundred thirty-six".