505577730240 has 896 divisors, whose sum is σ = 2023115120640. Its totient is φ = 117747302400.

The previous prime is 505577730233. The next prime is 505577730241. The reversal of 505577730240 is 42037775505.

505577730240 is a `hidden beast` number, since 5 + 0 + 5 + 577 + 7 + 30 + 2 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505577730241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 462559134 + ... + 462560226.

Almost surely, 2^505577730240 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 505577730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011557560320).

505577730240 is an abundant number, since it is smaller than the sum of its proper divisors (1517537390400).

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

505577730240 is a wasteful number, since it uses less digits than its factorization.

505577730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 505577730240 in words is "five hundred five billion, five hundred seventy-seven million, seven hundred thirty thousand, two hundred forty".