11163906000 has 1120 divisors, whose sum is σ = 47360302080. Its totient is φ = 2519424000.

The previous prime is 11163905999. The next prime is 11163906029. The reversal of 11163906000 is 60936111.

11163906000 is a `hidden beast` number, since 11 + 16 + 39 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 360125985 + ... + 360126015.

It is an arithmetic number, because the mean of its divisors is an integer number (42285984).

Almost surely, 2^11163906000 is an apocalyptic number.

11163906000 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 11163906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680151040).

11163906000 is an abundant number, since it is smaller than the sum of its proper divisors (36196396080).

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

11163906000 is a wasteful number, since it uses less digits than its factorization.

11163906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11163906000 in words is "eleven billion, one hundred sixty-three million, nine hundred six thousand".