12953975040 has 216 divisors, whose sum is σ = 47179117440. Its totient is φ = 3272527872.

The previous prime is 12953974973. The next prime is 12953975057. The reversal of 12953975040 is 4057935921.

It is a happy number.

12953975040 is a `hidden beast` number, since 1 + 2 + 9 + 53 + 97 + 504 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 189289 + ... + 248471.

It is an arithmetic number, because the mean of its divisors is an integer number (218421840).

Almost surely, 2^12953975040 is an apocalyptic number.

12953975040 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 12953975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589558720).

12953975040 is an abundant number, since it is smaller than the sum of its proper divisors (34225142400).

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

12953975040 is a wasteful number, since it uses less digits than its factorization.

12953975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59229 (or 59212 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12953975040 in words is "twelve billion, nine hundred fifty-three million, nine hundred seventy-five thousand, forty".