505130297760 has 864 divisors, whose sum is σ = 1940734059264. Its totient is φ = 119522304000.

The previous prime is 505130297731. The next prime is 505130297801. The reversal of 505130297760 is 67792031505.

505130297760 is a `hidden beast` number, since 5 + 0 + 513 + 0 + 2 + 9 + 77 + 60 = 666.

It is a super-2 number, since 2×505130297760² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1920647389 + ... + 1920647651.

It is an arithmetic number, because the mean of its divisors is an integer number (2246219976).

Almost surely, 2^505130297760 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 505130297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970367029632).

505130297760 is an abundant number, since it is smaller than the sum of its proper divisors (1435603761504).

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

505130297760 is a wasteful number, since it uses less digits than its factorization.

505130297760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 505130297760 in words is "five hundred five billion, one hundred thirty million, two hundred ninety-seven thousand, seven hundred sixty".