5105010511020 has 288 divisors, whose sum is σ = 17910401273856. Its totient is φ = 1080121996800.

The previous prime is 5105010511001. The next prime is 5105010511037. The reversal of 5105010511020 is 201150105015.

It is a super-2 number, since 2×5105010511020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878550 + ... + 3313890.

It is an arithmetic number, because the mean of its divisors is an integer number (62188893312).

Almost surely, 2^{5105010511020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105010511020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955200636928).

5105010511020 is an abundant number, since it is smaller than the sum of its proper divisors (12805390762836).

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

5105010511020 is a wasteful number, since it uses less digits than its factorization.

5105010511020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435421 (or 2435412 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

Adding to 5105010511020 its reverse (201150105015), we get a palindrome (5306160616035).

The spelling of 5105010511020 in words is "five trillion, one hundred five billion, ten million, five hundred eleven thousand, twenty".