11138229209088 has 384 divisors, whose sum is σ = 35386107120000. Its totient is φ = 3450953465856.

The previous prime is 11138229209077. The next prime is 11138229209101. The reversal of 11138229209088 is 88090292283111.

11138229209088 is a `hidden beast` number, since 1 + 1 + 138 + 229 + 209 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55583058 + ... + 55783086.

It is an arithmetic number, because the mean of its divisors is an integer number (92151320625).

Almost surely, 2^{11138229209088} is an apocalyptic number.

11138229209088 is a gapful number since it is divisible by the number (18) 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 11138229209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17693053560000).

11138229209088 is an abundant number, since it is smaller than the sum of its proper divisors (24247877910912).

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

11138229209088 is a wasteful number, since it uses less digits than its factorization.

11138229209088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200132 (or 200106 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 11138229209088 in words is "eleven trillion, one hundred thirty-eight billion, two hundred twenty-nine million, two hundred nine thousand, eighty-eight".