11238877872000 has 2048 divisors, whose sum is σ = 46727815680000. Its totient is φ = 2640804249600.

The previous prime is 11238877871999. The next prime is 11238877872031. The reversal of 11238877872000 is 27877883211.

11238877872000 is a `hidden beast` number, since 112 + 388 + 77 + 87 + 2 + 0 + 0 + 0 = 666.

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

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 255 ways as a sum of consecutive naturals, for example, 6985007196 + ... + 6985008804.

It is an arithmetic number, because the mean of its divisors is an integer number (22816316250).

Almost surely, 2^{11238877872000} is an apocalyptic number.

11238877872000 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 11238877872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363907840000).

11238877872000 is an abundant number, since it is smaller than the sum of its proper divisors (35488937808000).

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

11238877872000 is a wasteful number, since it uses less digits than its factorization.

11238877872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 11238877872000 in words is "eleven trillion, two hundred thirty-eight billion, eight hundred seventy-seven million, eight hundred seventy-two thousand".