11520511400 has 96 divisors (see below), whose sum is σ = 28851724800. Its totient is φ = 4265606400.

The previous prime is 11520511391. The next prime is 11520511411. The reversal of 11520511400 is 411502511.

11520511400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 102206 + ... + 182994.

It is an arithmetic number, because the mean of its divisors is an integer number (300538800).

Almost surely, 2^11520511400 is an apocalyptic number.

11520511400 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 11520511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425862400).

11520511400 is an abundant number, since it is smaller than the sum of its proper divisors (17331213400).

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

11520511400 is a wasteful number, since it uses less digits than its factorization.

11520511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80859 (or 80850 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 11520511400 in words is "eleven billion, five hundred twenty million, five hundred eleven thousand, four hundred".