11197440000 has 560 divisors, whose sum is σ = 41968003440. Its totient is φ = 2985984000.

The previous prime is 11197439989. The next prime is 11197440019. The reversal of 11197440000 is 4479111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2239487998 + ... + 2239488002.

Almost surely, 2^11197440000 is an apocalyptic number.

11197440000 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 11197440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20984001720).

11197440000 is an abundant number, since it is smaller than the sum of its proper divisors (30770563440).

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

11197440000 is an frugal number, since it uses more digits than its factorization.

11197440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11197440000 in words is "eleven billion, one hundred ninety-seven million, four hundred forty thousand".