12395261952 has 416 divisors, whose sum is σ = 41046739200. Its totient is φ = 3673423872.

The previous prime is 12395261939. The next prime is 12395261981. The reversal of 12395261952 is 25916259321.

12395261952 is a `hidden beast` number, since 1 + 2 + 39 + 526 + 1 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12395261898 and 12395261907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35721043 + ... + 35721389.

Almost surely, 2^12395261952 is an apocalyptic number.

12395261952 is a gapful number since it is divisible by the number (12) 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 12395261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523369600).

12395261952 is an abundant number, since it is smaller than the sum of its proper divisors (28651477248).

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

12395261952 is a wasteful number, since it uses less digits than its factorization.

12395261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 12395261952 in words is "twelve billion, three hundred ninety-five million, two hundred sixty-one thousand, nine hundred fifty-two".