11009456640 has 960 divisors, whose sum is σ = 48259411200. Its totient is φ = 2257846272.

The previous prime is 11009456603. The next prime is 11009456693. The reversal of 11009456640 is 4665490011.

11009456640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 9 + 4 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 11009456595 and 11009456604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123701716 + ... + 123701804.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^11009456640 is an apocalyptic number.

11009456640 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 11009456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129705600).

11009456640 is an abundant number, since it is smaller than the sum of its proper divisors (37249954560).

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

11009456640 is a wasteful number, since it uses less digits than its factorization.

11009456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11009456640 in words is "eleven billion, nine million, four hundred fifty-six thousand, six hundred forty".