11073065120 has 96 divisors (see below), whose sum is σ = 28257819408. Its totient is φ = 4076126208.

The previous prime is 11073065111. The next prime is 11073065173. The reversal of 11073065120 is 2156037011.

It can be written as a sum of positive squares in 8 ways, for example, as 2716911376 + 8356153744 = 52124^2 + 91412^2 .

It is a super-2 number, since 2×11073065120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11073065120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693062 + ... + 708858.

Almost surely, 2^11073065120 is an apocalyptic number.

11073065120 is a gapful number since it is divisible by the number (10) 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 11073065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128909704).

11073065120 is an abundant number, since it is smaller than the sum of its proper divisors (17184754288).

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

11073065120 is a wasteful number, since it uses less digits than its factorization.

11073065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16162 (or 16154 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The spelling of 11073065120 in words is "eleven billion, seventy-three million, sixty-five thousand, one hundred twenty".