11528824125 has 288 divisors, whose sum is σ = 25682372352. Its totient is φ = 4551321600.

The previous prime is 11528824103. The next prime is 11528824133. The reversal of 11528824125 is 52142882511.

It is not a de Polignac number, because 11528824125 - 2⁷ = 11528823997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69034792 + ... + 69034958.

It is an arithmetic number, because the mean of its divisors is an integer number (89174904).

Almost surely, 2^11528824125 is an apocalyptic number.

11528824125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11528824125 is an abundant number, since it is smaller than the sum of its proper divisors (14153548227).

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

11528824125 is a wasteful number, since it uses less digits than its factorization.

11528824125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 212 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The spelling of 11528824125 in words is "eleven billion, five hundred twenty-eight million, eight hundred twenty-four thousand, one hundred twenty-five".