11053129920 has 672 divisors, whose sum is σ = 43781472000. Its totient is φ = 2348752896.

The previous prime is 11053129909. The next prime is 11053129931. The reversal of 11053129920 is 2992135011.

It is an interprime number because it is at equal distance from previous prime (11053129909) and next prime (11053129931).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74182006 + ... + 74182154.

It is an arithmetic number, because the mean of its divisors is an integer number (65151000).

Almost surely, 2^11053129920 is an apocalyptic number.

11053129920 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 11053129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736000).

11053129920 is an abundant number, since it is smaller than the sum of its proper divisors (32728342080).

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

11053129920 is a wasteful number, since it uses less digits than its factorization.

11053129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 11053129920 in words is "eleven billion, fifty-three million, one hundred twenty-nine thousand, nine hundred twenty".