11895825152 has 54 divisors (see below), whose sum is σ = 24003523908. Its totient is φ = 5883383296.

The previous prime is 11895825133. The next prime is 11895825163. The reversal of 11895825152 is 25152859811.

Its product of digits (288000) is a multiple of the sum of its prime divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 11895825097 and 11895825106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18050999 + ... + 18051657.

It is an arithmetic number, because the mean of its divisors is an integer number (444509702).

Almost surely, 2^11895825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11895825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001761954).

11895825152 is an abundant number, since it is smaller than the sum of its proper divisors (12107698756).

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

11895825152 is an frugal number, since it uses more digits than its factorization.

11895825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 768 counting only the distinct ones).

The product of its digits is 288000, while the sum is 47.

The spelling of 11895825152 in words is "eleven billion, eight hundred ninety-five million, eight hundred twenty-five thousand, one hundred fifty-two".