11191025664 has 512 divisors, whose sum is σ = 41103552000. Its totient is φ = 2930245632.

The previous prime is 11191025627. The next prime is 11191025743. The reversal of 11191025664 is 46652019111.

11191025664 is a `hidden beast` number, since 1 + 1 + 1 + 91 + 0 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80510907 + ... + 80511045.

It is an arithmetic number, because the mean of its divisors is an integer number (80280375).

Almost surely, 2^11191025664 is an apocalyptic number.

11191025664 is a gapful number since it is divisible by the number (14) 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 11191025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551776000).

11191025664 is an abundant number, since it is smaller than the sum of its proper divisors (29912526336).

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

11191025664 is an equidigital number, since it uses as much as digits as its factorization.

11191025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11191025664 in words is "eleven billion, one hundred ninety-one million, twenty-five thousand, six hundred sixty-four".