11038707216000 has 1280 divisors, whose sum is σ = 43192884683520. Its totient is φ = 2788549632000.

The previous prime is 11038707215989. The next prime is 11038707216007. The reversal of 11038707216000 is 61270783011.

11038707216000 is a `hidden beast` number, since 1 + 10 + 38 + 7 + 0 + 7 + 2 + 1 + 600 + 0 = 666.

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 (11038707216007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3189454270 + ... + 3189457730.

It is an arithmetic number, because the mean of its divisors is an integer number (33744441159).

Almost surely, 2^{11038707216000} is an apocalyptic number.

11038707216000 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 11038707216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21596442341760).

11038707216000 is an abundant number, since it is smaller than the sum of its proper divisors (32154177467520).

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

11038707216000 is a wasteful number, since it uses less digits than its factorization.

11038707216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 11038707216000 its reverse (61270783011), we get a palindrome (11099977999011).

The spelling of 11038707216000 in words is "eleven trillion, thirty-eight billion, seven hundred seven million, two hundred sixteen thousand".