11610586826160 has 160 divisors (see below), whose sum is σ = 42091270510080. Its totient is φ = 2592130996224.

The previous prime is 11610586826141. The next prime is 11610586826221. The reversal of 11610586826160 is 6162868501611.

11610586826160 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 31 ways as a sum of consecutive naturals, for example, 80288965 + ... + 80433444.

It is an arithmetic number, because the mean of its divisors is an integer number (263070440688).

Almost surely, 2^{11610586826160} is an apocalyptic number.

11610586826160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11610586826160 is an abundant number, since it is smaller than the sum of its proper divisors (30480683683920).

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

11610586826160 is a wasteful number, since it uses less digits than its factorization.

11610586826160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160722475 (or 160722469 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 11610586826160 in words is "eleven trillion, six hundred ten billion, five hundred eighty-six million, eight hundred twenty-six thousand, one hundred sixty".