5010605510500 has 192 divisors, whose sum is σ = 12313141102080. Its totient is φ = 1771900416000.

The previous prime is 5010605510497. The next prime is 5010605510503. The reversal of 5010605510500 is 50155060105.

It is an interprime number because it is at equal distance from previous prime (5010605510497) and next prime (5010605510503).

It is a super-2 number, since 2×5010605510500² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5010605510503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8678844 + ... + 9238156.

It is an arithmetic number, because the mean of its divisors is an integer number (64130943240).

Almost surely, 2^{5010605510500} is an apocalyptic number.

5010605510500 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 5010605510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156570551040).

5010605510500 is an abundant number, since it is smaller than the sum of its proper divisors (7302535591580).

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

5010605510500 is a wasteful number, since it uses less digits than its factorization.

5010605510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559415 (or 559403 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 5010605510500 in words is "five trillion, ten billion, six hundred five million, five hundred ten thousand, five hundred".