10005110050000 has 120 divisors (see below), whose sum is σ = 26093390275512. Its totient is φ = 3694194240000.

The previous prime is 10005110049941. The next prime is 10005110050007. The reversal of 10005110050000 is 5001150001.

10005110050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9730756181056 + 274353868944 = 3119416^2 + 523788^2 .

It is a super-2 number, since 2×10005110050000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005110050007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7046239 + ... + 8346238.

Almost surely, 2^{10005110050000} is an apocalyptic number.

10005110050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005110050000 is an abundant number, since it is smaller than the sum of its proper divisors (16088280225512).

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

10005110050000 is an equidigital number, since it uses as much as digits as its factorization.

10005110050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392523 (or 15392497 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The spelling of 10005110050000 in words is "ten trillion, five billion, one hundred ten million, fifty thousand".