5002000000000 has 440 divisors, whose sum is σ = 13013641245528. Its totient is φ = 1920000000000.

The previous prime is 5001999999949. The next prime is 5002000000001. The reversal of 5002000000000 is 2005.

It can be written as a sum of positive squares in 20 ways, for example, as 2723397673984 + 2278602326016 = 1650272^2 + 1509504^2 .

It is a sliding number, since 5002000000000 = 2000000000 + 5000000000000 and 1/2000000000 + 1/5000000000000 = 0.0000000005002000000000.

It is a self number, because there is not a number n which added to its sum of digits gives 5002000000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002000000001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81999999970 + ... + 82000000030.

Almost surely, 2^{5002000000000} is an apocalyptic number.

5002000000000 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 5002000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506820622764).

5002000000000 is an abundant number, since it is smaller than the sum of its proper divisors (8011641245528).

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

5002000000000 is an frugal number, since it uses more digits than its factorization.

5002000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Adding to 5002000000000 its reverse (2005), we get a palindrome (5002000002005).

It can be divided in two parts, 500 and 2000000000, that multiplied together give a 12-th power (1000000000000 = 10¹²).

The spelling of 5002000000000 in words is "five trillion, two billion", and thus it is an aban number and an uban number.