10000505505500 has 96 divisors (see below), whose sum is σ = 22043515253760. Its totient is φ = 3963286785600.

The previous prime is 10000505505493. The next prime is 10000505505527. The reversal of 10000505505500 is 550550500001.

It is a super-2 number, since 2×10000505505500² (a number of 27 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 10000505505500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25439441 + ... + 25829559.

It is an arithmetic number, because the mean of its divisors is an integer number (229619950560).

Almost surely, 2^{10000505505500} is an apocalyptic number.

10000505505500 is a gapful number since it is divisible by the number (10) 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 10000505505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021757626880).

10000505505500 is an abundant number, since it is smaller than the sum of its proper divisors (12043009748260).

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

10000505505500 is a wasteful number, since it uses less digits than its factorization.

10000505505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390612 (or 390600 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 26.

The spelling of 10000505505500 in words is "ten trillion, five hundred five million, five hundred five thousand, five hundred".