11065377610872 has 192 divisors, whose sum is σ = 32386412822400. Its totient is φ = 3392895098880.

The previous prime is 11065377610843. The next prime is 11065377610897. The reversal of 11065377610872 is 27801677356011.

11065377610872 is a `hidden beast` number, since 1 + 10 + 6 + 5 + 3 + 7 + 7 + 610 + 8 + 7 + 2 = 666.

11065377610872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320616097 + ... + 320650607.

It is an arithmetic number, because the mean of its divisors is an integer number (168679233450).

Almost surely, 2^{11065377610872} is an apocalyptic number.

11065377610872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11065377610872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193206411200).

11065377610872 is an abundant number, since it is smaller than the sum of its proper divisors (21321035211528).

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

11065377610872 is a wasteful number, since it uses less digits than its factorization.

11065377610872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35718 (or 35711 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 11065377610872 in words is "eleven trillion, sixty-five billion, three hundred seventy-seven million, six hundred ten thousand, eight hundred seventy-two".