11119913280 has 672 divisors, whose sum is σ = 46864097280. Its totient is φ = 2455971840.

The previous prime is 11119913263. The next prime is 11119913281. The reversal of 11119913280 is 8231991111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11119913281) 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, 16873591 + ... + 16874249.

It is an arithmetic number, because the mean of its divisors is an integer number (69738240).

Almost surely, 2^11119913280 is an apocalyptic number.

11119913280 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 11119913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432048640).

11119913280 is an abundant number, since it is smaller than the sum of its proper divisors (35744184000).

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

11119913280 is an equidigital number, since it uses as much as digits as its factorization.

11119913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

It can be divided in two parts, 1111991 and 3280, that added together give a triangular number (1115271 = T₁₄₉₃).

The spelling of 11119913280 in words is "eleven billion, one hundred nineteen million, nine hundred thirteen thousand, two hundred eighty".