11525330400 has 144 divisors (see below), whose sum is σ = 37603843200. Its totient is φ = 3066140160.

The previous prime is 11525330393. The next prime is 11525330413. The reversal of 11525330400 is 403352511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048131 + ... + 1059069.

It is an arithmetic number, because the mean of its divisors is an integer number (261137800).

Almost surely, 2^11525330400 is an apocalyptic number.

11525330400 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 11525330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801921600).

11525330400 is an abundant number, since it is smaller than the sum of its proper divisors (26078512800).

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

11525330400 is a wasteful number, since it uses less digits than its factorization.

11525330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11388 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 11525330400 its reverse (403352511), we get a palindrome (11928682911).

The spelling of 11525330400 in words is "eleven billion, five hundred twenty-five million, three hundred thirty thousand, four hundred".