11206769040 has 80 divisors (see below), whose sum is σ = 38601100800. Its totient is φ = 2988471168.

The previous prime is 11206769039. The next prime is 11206769047. The reversal of 11206769040 is 4096760211.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 11206768986 and 11206769004.

It is not an unprimeable number, because it can be changed into a prime (11206769047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592000 + ... + 2596319.

It is an arithmetic number, because the mean of its divisors is an integer number (482513760).

Almost surely, 2^11206769040 is an apocalyptic number.

11206769040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11206769040 is an abundant number, since it is smaller than the sum of its proper divisors (27394331760).

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

11206769040 is a wasteful number, since it uses less digits than its factorization.

11206769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188341 (or 5188329 counting only the distinct ones).

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

The spelling of 11206769040 in words is "eleven billion, two hundred six million, seven hundred sixty-nine thousand, forty".