505145637360 has 1440 divisors, whose sum is σ = 2264872181760. Its totient is φ = 103028889600.

The previous prime is 505145637319. The next prime is 505145637361. The reversal of 505145637360 is 63736541505.

505145637360 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 4 + 5 + 637 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×505145637360² (a number of 24 digits) contains 22 as substring.

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 (505145637361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 554495305 + ... + 554496215.

It is an arithmetic number, because the mean of its divisors is an integer number (1572827904).

Almost surely, 2^505145637360 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 505145637360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132436090880).

505145637360 is an abundant number, since it is smaller than the sum of its proper divisors (1759726544400).

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

505145637360 is a wasteful number, since it uses less digits than its factorization.

505145637360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 505145637360 in words is "five hundred five billion, one hundred forty-five million, six hundred thirty-seven thousand, three hundred sixty".