505491432936 has 128 divisors (see below), whose sum is σ = 1499780136960. Its totient is φ = 138930048000.

The previous prime is 505491432913. The next prime is 505491432949. The reversal of 505491432936 is 639234194505.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579136 + ... + 1160336.

It is an arithmetic number, because the mean of its divisors is an integer number (11717032320).

Almost surely, 2^505491432936 is an apocalyptic number.

505491432936 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 505491432936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749890068480).

505491432936 is an abundant number, since it is smaller than the sum of its proper divisors (994288704024).

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

505491432936 is a wasteful number, since it uses less digits than its factorization.

505491432936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581415 (or 581411 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 505491432936 in words is "five hundred five billion, four hundred ninety-one million, four hundred thirty-two thousand, nine hundred thirty-six".