505506056040 has 64 divisors (see below), whose sum is σ = 1685020190400. Its totient is φ = 134801614656.

The previous prime is 505506056023. The next prime is 505506056057. The reversal of 505506056040 is 40650605505.

It is a happy number.

505506056040 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 0 + 605 + 6 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (505506056023) and next prime (505506056057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505506055986 and 505506056004.

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, 234029502 + ... + 234031661.

It is an arithmetic number, because the mean of its divisors is an integer number (26328440475).

Almost surely, 2^505506056040 is an apocalyptic number.

It is an amenable number.

505506056040 is an abundant number, since it is smaller than the sum of its proper divisors (1179514134360).

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

505506056040 is a wasteful number, since it uses less digits than its factorization.

505506056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468061183 (or 468061173 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 505506056040 in words is "five hundred five billion, five hundred six million, fifty-six thousand, forty".