505836509040 has 160 divisors (see below), whose sum is σ = 1834027257600. Its totient is φ = 127790265600.

The previous prime is 505836509029. The next prime is 505836509041. The reversal of 505836509040 is 40905638505.

505836509040 is a `hidden beast` number, since 5 + 0 + 583 + 65 + 0 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505836509041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6121686 + ... + 6203765.

It is an arithmetic number, because the mean of its divisors is an integer number (11462670360).

Almost surely, 2^505836509040 is an apocalyptic number.

It is an amenable number.

505836509040 is an abundant number, since it is smaller than the sum of its proper divisors (1328190748560).

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

505836509040 is a wasteful number, since it uses less digits than its factorization.

505836509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12325492 (or 12325480 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 505836509040 in words is "five hundred five billion, eight hundred thirty-six million, five hundred nine thousand, forty".