11189625866496 has 1728 divisors, whose sum is σ = 44139097497600. Its totient is φ = 2749598576640.

The previous prime is 11189625866417. The next prime is 11189625866509. The reversal of 11189625866496 is 69466852698111.

11189625866496 is a `hidden beast` number, since 1 + 1 + 1 + 89 + 6 + 2 + 58 + 6 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 15562761625 + ... + 15562762343.

It is an arithmetic number, because the mean of its divisors is an integer number (25543459200).

Almost surely, 2^{11189625866496} is an apocalyptic number.

11189625866496 is a gapful number since it is divisible by the number (16) 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 11189625866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22069548748800).

11189625866496 is an abundant number, since it is smaller than the sum of its proper divisors (32949471631104).

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

11189625866496 is an frugal number, since it uses more digits than its factorization.

11189625866496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 761 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 11189625866496 in words is "eleven trillion, one hundred eighty-nine billion, six hundred twenty-five million, eight hundred sixty-six thousand, four hundred ninety-six".