500011012000 has 144 divisors (see below), whose sum is σ = 1233573940872. Its totient is φ = 199185177600.

The previous prime is 500011011989. The next prime is 500011012003. The reversal of 500011012000 is 210110005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 245821606416 + 254189405584 = 495804^2 + 504172^2 .

It is a super-2 number, since 2×500011012000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (500011012003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956043739 + ... + 956044261.

Almost surely, 2^500011012000 is an apocalyptic number.

500011012000 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 500011012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616786970436).

500011012000 is an abundant number, since it is smaller than the sum of its proper divisors (733562928872).

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

500011012000 is an frugal number, since it uses more digits than its factorization.

500011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 500011012000 its reverse (210110005), we get a palindrome (500221122005).

The spelling of 500011012000 in words is "five hundred billion, eleven million, twelve thousand".