11835487125 has 640 divisors, whose sum is σ = 31313018880. Its totient is φ = 4292352000.

The previous prime is 11835487093. The next prime is 11835487133. The reversal of 11835487125 is 52178453811.

11835487125 is a `hidden beast` number, since 1 + 1 + 83 + 548 + 7 + 1 + 25 = 666.

11835487125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11835487125 - 2⁵ = 11835487093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (268800) is a multiple of the sum of its prime factors (128).

It is a congruent number.

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 639 ways as a sum of consecutive naturals, for example, 251818852 + ... + 251818898.

It is an arithmetic number, because the mean of its divisors is an integer number (48926592).

Almost surely, 2^11835487125 is an apocalyptic number.

11835487125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11835487125 is an abundant number, since it is smaller than the sum of its proper divisors (19477531755).

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

11835487125 is a wasteful number, since it uses less digits than its factorization.

11835487125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 11835487125 in words is "eleven billion, eight hundred thirty-five million, four hundred eighty-seven thousand, one hundred twenty-five".