12895023240 has 288 divisors, whose sum is σ = 46244179800. Its totient is φ = 3113932800.

The previous prime is 12895023191. The next prime is 12895023241. The reversal of 12895023240 is 4232059821.

It is a happy number.

12895023240 is a `hidden beast` number, since 1 + 2 + 89 + 502 + 32 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4123951524 + 8771071716 = 64218^2 + 93654^2 .

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 = 12895023195 and 12895023204.

It is not an unprimeable number, because it can be changed into a prime (12895023241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 16944460 + ... + 16945220.

Almost surely, 2^12895023240 is an apocalyptic number.

12895023240 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 12895023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23122089900).

12895023240 is an abundant number, since it is smaller than the sum of its proper divisors (33349156560).

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

12895023240 is a wasteful number, since it uses less digits than its factorization.

12895023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12895023240 in words is "twelve billion, eight hundred ninety-five million, twenty-three thousand, two hundred forty".