11107342080 has 360 divisors, whose sum is σ = 40066488000. Its totient is φ = 2937987072.

The previous prime is 11107342061. The next prime is 11107342087. The reversal of 11107342080 is 8024370111.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107342087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15447961 + ... + 15448679.

It is an arithmetic number, because the mean of its divisors is an integer number (111295800).

Almost surely, 2^11107342080 is an apocalyptic number.

11107342080 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 11107342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033244000).

11107342080 is an abundant number, since it is smaller than the sum of its proper divisors (28959145920).

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

11107342080 is an equidigital number, since it uses as much as digits as its factorization.

11107342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11107342080 in words is "eleven billion, one hundred seven million, three hundred forty-two thousand, eighty".