11206785408 has 256 divisors, whose sum is σ = 37161815040. Its totient is φ = 2913361920.

The previous prime is 11206785329. The next prime is 11206785437. The reversal of 11206785408 is 80458760211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11206785408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2478766 + ... + 2483282.

It is an arithmetic number, because the mean of its divisors is an integer number (145163340).

Almost surely, 2^11206785408 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 11206785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580907520).

11206785408 is an abundant number, since it is smaller than the sum of its proper divisors (25955029632).

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

11206785408 is a wasteful number, since it uses less digits than its factorization.

11206785408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11206785408 in words is "eleven billion, two hundred six million, seven hundred eighty-five thousand, four hundred eight".