12395160540 has 288 divisors, whose sum is σ = 45817712640. Its totient is φ = 2772620928.

The previous prime is 12395160539. The next prime is 12395160551. The reversal of 12395160540 is 4506159321.

12395160540 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 5 + 1 + 605 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12395160495 and 12395160504.

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 95 ways as a sum of consecutive naturals, for example, 1238637 + ... + 1248603.

It is an arithmetic number, because the mean of its divisors is an integer number (159089280).

Almost surely, 2^12395160540 is an apocalyptic number.

12395160540 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 12395160540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22908856320).

12395160540 is an abundant number, since it is smaller than the sum of its proper divisors (33422552100).

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

12395160540 is a wasteful number, since it uses less digits than its factorization.

12395160540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12395160540 in words is "twelve billion, three hundred ninety-five million, one hundred sixty thousand, five hundred forty".