505093762368 has 224 divisors, whose sum is σ = 1600891286400. Its totient is φ = 155239759872.

The previous prime is 505093762331. The next prime is 505093762373. The reversal of 505093762368 is 863267390505.

It is a happy number.

505093762368 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 9 + 3 + 7 + 623 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20856955 + ... + 20881157.

It is an arithmetic number, because the mean of its divisors is an integer number (7146836100).

Almost surely, 2^505093762368 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 505093762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800445643200).

505093762368 is an abundant number, since it is smaller than the sum of its proper divisors (1095797524032).

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

505093762368 is a wasteful number, since it uses less digits than its factorization.

505093762368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25166 (or 25150 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 505093762368 in words is "five hundred five billion, ninety-three million, seven hundred sixty-two thousand, three hundred sixty-eight".