11166564321000 has 384 divisors, whose sum is σ = 41206877487360. Its totient is φ = 2704895424000.

The previous prime is 11166564320999. The next prime is 11166564321001. The reversal of 11166564321000 is 12346566111.

11166564321000 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 6 + 5 + 643 + 2 + 1 + 0 + 0 + 0 = 666.

11166564321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11166564320999) and next prime (11166564321001).

It is a super-3 number, since 3×11166564321000³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11166564321001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126378837 + ... + 126467163.

It is an arithmetic number, because the mean of its divisors is an integer number (107309576790).

Almost surely, 2^{11166564321000} is an apocalyptic number.

11166564321000 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 11166564321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603438743680).

11166564321000 is an abundant number, since it is smaller than the sum of its proper divisors (30040313166360).

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

11166564321000 is a wasteful number, since it uses less digits than its factorization.

11166564321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89642 (or 89625 counting only the distinct ones).

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

The spelling of 11166564321000 in words is "eleven trillion, one hundred sixty-six billion, five hundred sixty-four million, three hundred twenty-one thousand".