11206976640 has 256 divisors, whose sum is σ = 38126816640. Its totient is φ = 2790195200.

The previous prime is 11206976633. The next prime is 11206976653. The reversal of 11206976640 is 4667960211.

11206976640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11206976592 and 11206976601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274530 + ... + 4277150.

Almost surely, 2^11206976640 is an apocalyptic number.

11206976640 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 11206976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19063408320).

11206976640 is an abundant number, since it is smaller than the sum of its proper divisors (26919840000).

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

11206976640 is a wasteful number, since it uses less digits than its factorization.

11206976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 11206976640 in words is "eleven billion, two hundred six million, nine hundred seventy-six thousand, six hundred forty".