11110111100000 has 432 divisors, whose sum is σ = 30351770393616. Its totient is φ = 3999600000000.

The previous prime is 11110111099973. The next prime is 11110111100009. The reversal of 11110111100000 is 111101111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110111100009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1222095455 + ... + 1222104545.

It is an arithmetic number, because the mean of its divisors is an integer number (70258727763).

Almost surely, 2^{11110111100000} is an apocalyptic number.

11110111100000 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 11110111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175885196808).

11110111100000 is an abundant number, since it is smaller than the sum of its proper divisors (19241659293616).

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

11110111100000 is an equidigital number, since it uses as much as digits as its factorization.

11110111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11110111100000 its reverse (111101111), we get a palindrome (11110222201111).

11110111100000 divided by its reverse (111101111) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 11110 and 111100000, that multiplied together give a square (1234321000000 = 1111000²).

The spelling of 11110111100000 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, one hundred thousand".