11505641260 has 48 divisors (see below), whose sum is σ = 24270926400. Its totient is φ = 4581529344.

The previous prime is 11505641243. The next prime is 11505641267. The reversal of 11505641260 is 6214650511.

11505641260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11505641267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951254 + ... + 5953186.

It is an arithmetic number, because the mean of its divisors is an integer number (505644300).

Almost surely, 2^11505641260 is an apocalyptic number.

11505641260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505641260 is an abundant number, since it is smaller than the sum of its proper divisors (12765285140).

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

11505641260 is a wasteful number, since it uses less digits than its factorization.

11505641260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 11505641260 in words is "eleven billion, five hundred five million, six hundred forty-one thousand, two hundred sixty".