11197140576 has 96 divisors (see below), whose sum is σ = 31168579680. Its totient is φ = 3507511296.

The previous prime is 11197140557. The next prime is 11197140601. The reversal of 11197140576 is 67504179111.

11197140576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11197140576² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152250 + ... + 1161926.

It is an arithmetic number, because the mean of its divisors is an integer number (324672705).

Almost surely, 2^11197140576 is an apocalyptic number.

11197140576 is a gapful number since it is divisible by the number (16) 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 11197140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584289840).

11197140576 is an abundant number, since it is smaller than the sum of its proper divisors (19971439104).

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

11197140576 is a wasteful number, since it uses less digits than its factorization.

11197140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 42.

The spelling of 11197140576 in words is "eleven billion, one hundred ninety-seven million, one hundred forty thousand, five hundred seventy-six".