11100011100000 has 576 divisors, whose sum is σ = 37778044175424. Its totient is φ = 2851200000000.

The previous prime is 11100011099993. The next prime is 11100011100001. The reversal of 11100011100000 is 111000111.

11100011100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100011100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1121095050 + ... + 1121104950.

It is an arithmetic number, because the mean of its divisors is an integer number (65586882249).

Almost surely, 2^{11100011100000} is an apocalyptic number.

11100011100000 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 11100011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889022087712).

11100011100000 is an abundant number, since it is smaller than the sum of its proper divisors (26678033075424).

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

11100011100000 is an equidigital number, since it uses as much as digits as its factorization.

11100011100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11100011100000 its reverse (111000111), we get a palindrome (11100122100111).

11100011100000 divided by its reverse (111000111) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 111000 and 11100000, that multiplied together give a square (1232100000000 = 1110000²).

The spelling of 11100011100000 in words is "eleven trillion, one hundred billion, eleven million, one hundred thousand".