11163369600000 has 1188 divisors, whose sum is σ = 42944286913164. Its totient is φ = 2783232000000.

The previous prime is 11163369599959. The next prime is 11163369600011. The reversal of 11163369600000 is 696336111.

11163369600000 is a `hidden beast` number, since 1 + 1 + 16 + 3 + 36 + 9 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7827281961984 + 3336087638016 = 2797728^2 + 1826496^2 .

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73929599925 + ... + 73929600075.

Almost surely, 2^{11163369600000} is an apocalyptic number.

11163369600000 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 11163369600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472143456582).

11163369600000 is an abundant number, since it is smaller than the sum of its proper divisors (31780917313164).

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

11163369600000 is an frugal number, since it uses more digits than its factorization.

11163369600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11163369600000 in words is "eleven trillion, one hundred sixty-three billion, three hundred sixty-nine million, six hundred thousand".