5105605501000 has 128 divisors (see below), whose sum is σ = 12582002160000. Its totient is φ = 1933818912000.

The previous prime is 5105605500937. The next prime is 5105605501013. The reversal of 5105605501000 is 1055065015.

It is a super-2 number, since 2×5105605501000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5105605501000.

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 31 ways as a sum of consecutive naturals, for example, 39816990 + ... + 39945010.

It is an arithmetic number, because the mean of its divisors is an integer number (98296891875).

Almost surely, 2^{5105605501000} is an apocalyptic number.

5105605501000 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 5105605501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291001080000).

5105605501000 is an abundant number, since it is smaller than the sum of its proper divisors (7476396659000).

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

5105605501000 is a wasteful number, since it uses less digits than its factorization.

5105605501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130160 (or 130146 counting only the distinct ones).

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

The spelling of 5105605501000 in words is "five trillion, one hundred five billion, six hundred five million, five hundred one thousand".