505985345730 has 128 divisors (see below), whose sum is σ = 1423522252800. Its totient is φ = 127538753472.

The previous prime is 505985345717. The next prime is 505985345753. The reversal of 505985345730 is 37543589505.

505985345730 is a `hidden beast` number, since 5 + 0 + 59 + 8 + 534 + 57 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161267 + ... + 2383913.

It is an arithmetic number, because the mean of its divisors is an integer number (11121267600).

Almost surely, 2^505985345730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505985345730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711761126400).

505985345730 is an abundant number, since it is smaller than the sum of its proper divisors (917536907070).

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

505985345730 is a wasteful number, since it uses less digits than its factorization.

505985345730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223125 (or 223119 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 505985345730 in words is "five hundred five billion, nine hundred eighty-five million, three hundred forty-five thousand, seven hundred thirty".