505405416512 has 112 divisors (see below), whose sum is σ = 1060503075840. Its totient is φ = 238502803968.

The previous prime is 505405416499. The next prime is 505405416521. The reversal of 505405416512 is 215614504505.

It is a super-2 number, since 2×505405416512² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42901439 + ... + 42913217.

Almost surely, 2^505405416512 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 505405416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530251537920).

505405416512 is an abundant number, since it is smaller than the sum of its proper divisors (555097659328).

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

505405416512 is a wasteful number, since it uses less digits than its factorization.

505405416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 505405416512 in words is "five hundred five billion, four hundred five million, four hundred sixteen thousand, five hundred twelve".