10505555005050 has 72 divisors (see below), whose sum is σ = 32257056520416. Its totient is φ = 2401269714720.

The previous prime is 10505555005031. The next prime is 10505555005069. The reversal of 10505555005050 is 5050055550501.

It is a happy number.

10505555005050 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 5 + 550 + 0 + 50 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (10505555005031) and next prime (10505555005069).

It is a super-2 number, since 2×10505555005050² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505555004996 and 10505555005014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1667545264 + ... + 1667551563.

Almost surely, 2^{10505555005050} is an apocalyptic number.

10505555005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505555005050 is an abundant number, since it is smaller than the sum of its proper divisors (21751501515366).

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

10505555005050 is a wasteful number, since it uses less digits than its factorization.

10505555005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335096852 (or 3335096844 counting only the distinct ones).

The product of its (nonzero) digits is 78125, while the sum is 36.

The spelling of 10505555005050 in words is "ten trillion, five hundred five billion, five hundred fifty-five million, five thousand, fifty".