500135240000000 has 640 divisors, whose sum is σ = 1442848293798912. Its totient is φ = 171166720000000.

The previous prime is 500135239999987. The next prime is 500135240000093. The reversal of 500135240000000 is 42531005.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 7479966569 + ... + 7480033431.

Almost surely, 2^{500135240000000} is an apocalyptic number.

500135240000000 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 500135240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721424146899456).

500135240000000 is an abundant number, since it is smaller than the sum of its proper divisors (942713053798912).

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

500135240000000 is an frugal number, since it uses more digits than its factorization.

500135240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66944 (or 66898 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 500135240000000 its reverse (42531005), we get a palindrome (500135282531005).

The spelling of 500135240000000 in words is "five hundred trillion, one hundred thirty-five billion, two hundred forty million", and thus it is an aban number.