11110484869120 has 544 divisors, whose sum is σ = 32934765911040. Its totient is φ = 3503837675520.

The previous prime is 11110484869067. The next prime is 11110484869123. The reversal of 11110484869120 is 2196848401111.

It is not an unprimeable number, because it can be changed into a prime (11110484869123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12195921465 + ... + 12195922375.

Almost surely, 2^{11110484869120} is an apocalyptic number.

11110484869120 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 11110484869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467382955520).

11110484869120 is an abundant number, since it is smaller than the sum of its proper divisors (21824281041920).

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

11110484869120 is an frugal number, since it uses more digits than its factorization.

11110484869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 46.

The spelling of 11110484869120 in words is "eleven trillion, one hundred ten billion, four hundred eighty-four million, eight hundred sixty-nine thousand, one hundred twenty".