11175340000 has 240 divisors, whose sum is σ = 30419262720. Its totient is φ = 4006080000.

The previous prime is 11175339983. The next prime is 11175340003. The reversal of 11175340000 is 4357111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11175340003) 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, 17379679 + ... + 17380321.

It is an arithmetic number, because the mean of its divisors is an integer number (126746928).

Almost surely, 2^11175340000 is an apocalyptic number.

11175340000 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 11175340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209631360).

11175340000 is an abundant number, since it is smaller than the sum of its proper divisors (19243922720).

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

11175340000 is an equidigital number, since it uses as much as digits as its factorization.

11175340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

Adding to 11175340000 its reverse (4357111), we get a palindrome (11179697111).

The spelling of 11175340000 in words is "eleven billion, one hundred seventy-five million, three hundred forty thousand".