505945009872 has 180 divisors, whose sum is σ = 1490763983436. Its totient is φ = 160085514240.

The previous prime is 505945009859. The next prime is 505945009883. The reversal of 505945009872 is 278900549505.

505945009872 is a `hidden beast` number, since 5 + 0 + 59 + 4 + 500 + 9 + 87 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34832996496 + 471112013376 = 186636^2 + 686376^2 .

It is a super-3 number, since 3×505945009872³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8051278 + ... + 8113874.

Almost surely, 2^505945009872 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 505945009872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745381991718).

505945009872 is an abundant number, since it is smaller than the sum of its proper divisors (984818973564).

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

505945009872 is a wasteful number, since it uses less digits than its factorization.

505945009872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62726 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 505945009872 in words is "five hundred five billion, nine hundred forty-five million, nine thousand, eight hundred seventy-two".