505293344640 has 1792 divisors, whose sum is σ = 2311773696000. Its totient is φ = 102765625344.

The previous prime is 505293344609. The next prime is 505293344653. The reversal of 505293344640 is 46443392505.

505293344640 is a `hidden beast` number, since 50 + 52 + 93 + 3 + 4 + 464 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1054891921 + ... + 1054892399.

Almost surely, 2^505293344640 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 505293344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155886848000).

505293344640 is an abundant number, since it is smaller than the sum of its proper divisors (1806480351360).

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

505293344640 is a wasteful number, since it uses less digits than its factorization.

505293344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 505293344640 in words is "five hundred five billion, two hundred ninety-three million, three hundred forty-four thousand, six hundred forty".