11072064096 has 192 divisors, whose sum is σ = 34706568960. Its totient is φ = 3421440000.

The previous prime is 11072064053. The next prime is 11072064119. The reversal of 11072064096 is 69046027011.

11072064096 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 2 + 0 + 640 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11072064096.

It is a congruent number.

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, 978471 + ... + 989721.

It is an arithmetic number, because the mean of its divisors is an integer number (180763380).

Almost surely, 2^11072064096 is an apocalyptic number.

11072064096 is a gapful number since it is divisible by the number (16) 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 11072064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353284480).

11072064096 is an abundant number, since it is smaller than the sum of its proper divisors (23634504864).

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

11072064096 is a wasteful number, since it uses less digits than its factorization.

11072064096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 11340 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11072064096 in words is "eleven billion, seventy-two million, sixty-four thousand, ninety-six".