11191079264640 has 512 divisors, whose sum is σ = 41162748687360. Its totient is φ = 2559476367360.

The previous prime is 11191079264597. The next prime is 11191079264653. The reversal of 11191079264640 is 4646297019111.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 35302684 + ... + 35618276.

It is an arithmetic number, because the mean of its divisors is an integer number (80395993530).

Almost surely, 2^{11191079264640} is an apocalyptic number.

11191079264640 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 11191079264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20581374343680).

11191079264640 is an abundant number, since it is smaller than the sum of its proper divisors (29971669422720).

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

11191079264640 is a wasteful number, since it uses less digits than its factorization.

11191079264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315722 (or 315710 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 11191079264640 in words is "eleven trillion, one hundred ninety-one billion, seventy-nine million, two hundred sixty-four thousand, six hundred forty".