11071610853264 has 600 divisors, whose sum is σ = 35776300373352. Its totient is φ = 3301970780160.

The previous prime is 11071610853263. The next prime is 11071610853269. The reversal of 11071610853264 is 46235801617011.

11071610853264 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 6 + 108 + 532 + 6 + 4 = 666.

11071610853264 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 11004426213264 + 67184640000 = 3317292^2 + 259200^2 .

It is a super-2 number, since 2×11071610853264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11071610853263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1409853562 + ... + 1409861414.

Almost surely, 2^{11071610853264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11071610853264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888150186676).

11071610853264 is an abundant number, since it is smaller than the sum of its proper divisors (24704689520088).

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

11071610853264 is a wasteful number, since it uses less digits than its factorization.

11071610853264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11071610853264 in words is "eleven trillion, seventy-one billion, six hundred ten million, eight hundred fifty-three thousand, two hundred sixty-four".