11506507110010 has 32 divisors (see below), whose sum is σ = 23323453714944. Its totient is φ = 4049210712000.

The previous prime is 11506507109969. The next prime is 11506507110023. The reversal of 11506507110010 is 1001170560511.

11506507110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687167721 + ... + 1687174540.

It is an arithmetic number, because the mean of its divisors is an integer number (728857928592).

Almost surely, 2^{11506507110010} is an apocalyptic number.

11506507110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11506507110010 is an abundant number, since it is smaller than the sum of its proper divisors (11816946604934).

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

11506507110010 is a wasteful number, since it uses less digits than its factorization.

11506507110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374342310.

The product of its (nonzero) digits is 1050, while the sum is 28.

Adding to 11506507110010 its reverse (1001170560511), we get a palindrome (12507677670521).

The spelling of 11506507110010 in words is "eleven trillion, five hundred six billion, five hundred seven million, one hundred ten thousand, ten".