11079677952 has 288 divisors, whose sum is σ = 37068595200. Its totient is φ = 3122675712.

The previous prime is 11079677941. The next prime is 11079677953. The reversal of 11079677952 is 25977697011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079677953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10192353 + ... + 10193439.

It is an arithmetic number, because the mean of its divisors is an integer number (128710400).

Almost surely, 2^11079677952 is an apocalyptic number.

11079677952 is a gapful number since it is divisible by the number (12) 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 11079677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534297600).

11079677952 is an abundant number, since it is smaller than the sum of its proper divisors (25988917248).

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

11079677952 is a wasteful number, since it uses less digits than its factorization.

11079677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 11079677952 in words is "eleven billion, seventy-nine million, six hundred seventy-seven thousand, nine hundred fifty-two".