5010505055010 has 384 divisors, whose sum is σ = 16740891288576. Its totient is φ = 1010583889920.

The previous prime is 5010505054967. The next prime is 5010505055027. The reversal of 5010505055010 is 105505050105.

5010505055010 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 50 + 50 + 550 + 10 = 666.

It is a super-2 number, since 2×5010505055010² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 350549424 + ... + 350563716.

It is an arithmetic number, because the mean of its divisors is an integer number (43596071064).

Almost surely, 2^{5010505055010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010505055010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370445644288).

5010505055010 is an abundant number, since it is smaller than the sum of its proper divisors (11730386233566).

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

5010505055010 is a wasteful number, since it uses less digits than its factorization.

5010505055010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 5010505055010 in words is "five trillion, ten billion, five hundred five million, fifty-five thousand, ten".