11075607136 has 96 divisors (see below), whose sum is σ = 24147396000. Its totient is φ = 4958638080.

The previous prime is 11075607131. The next prime is 11075607139. The reversal of 11075607136 is 63170657011.

It is a junction number, because it is equal to n+sod(n) for n = 11075607095 and 11075607104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075607131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10932966 + ... + 10933978.

It is an arithmetic number, because the mean of its divisors is an integer number (251535375).

Almost surely, 2^11075607136 is an apocalyptic number.

11075607136 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 11075607136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073698000).

11075607136 is an abundant number, since it is smaller than the sum of its proper divisors (13071788864).

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

11075607136 is a wasteful number, since it uses less digits than its factorization.

11075607136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 11075607136 in words is "eleven billion, seventy-five million, six hundred seven thousand, one hundred thirty-six".