505495640832 has 1152 divisors, whose sum is σ = 1887282432000. Its totient is φ = 118611247104.

The previous prime is 505495640831. The next prime is 505495640861. The reversal of 505495640832 is 238046594505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (505495640831) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1106117148 + ... + 1106117604.

It is an arithmetic number, because the mean of its divisors is an integer number (1638266000).

Almost surely, 2^505495640832 is an apocalyptic number.

505495640832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505495640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943641216000).

505495640832 is an abundant number, since it is smaller than the sum of its proper divisors (1381786791168).

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

505495640832 is a wasteful number, since it uses less digits than its factorization.

505495640832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 505495640832 in words is "five hundred five billion, four hundred ninety-five million, six hundred forty thousand, eight hundred thirty-two".