505799640000 has 840 divisors, whose sum is σ = 1989911811888. Its totient is φ = 126904320000.

The previous prime is 505799639951. The next prime is 505799640007. The reversal of 505799640000 is 46997505.

It is a happy number.

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 (505799640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165238470 + ... + 165241530.

Almost surely, 2^505799640000 is an apocalyptic number.

505799640000 is a gapful number since it is divisible by the number (50) 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 505799640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994955905944).

505799640000 is an abundant number, since it is smaller than the sum of its proper divisors (1484112171888).

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

505799640000 is an equidigital number, since it uses as much as digits as its factorization.

505799640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 505799640000 in words is "five hundred five billion, seven hundred ninety-nine million, six hundred forty thousand".