12953659872960 has 672 divisors, whose sum is σ = 46521754332480. Its totient is φ = 3393075806208.

The previous prime is 12953659872949. The next prime is 12953659872991. The reversal of 12953659872960 is 6927895635921.

It is a happy number.

12953659872960 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 3 + 6 + 598 + 7 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16253023282 + ... + 16253024078.

It is an arithmetic number, because the mean of its divisors is an integer number (69228801090).

Almost surely, 2^{12953659872960} is an apocalyptic number.

12953659872960 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 12953659872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23260877166240).

12953659872960 is an abundant number, since it is smaller than the sum of its proper divisors (33568094459520).

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

12953659872960 is an equidigital number, since it uses as much as digits as its factorization.

12953659872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 12953659872960 in words is "twelve trillion, nine hundred fifty-three billion, six hundred fifty-nine million, eight hundred seventy-two thousand, nine hundred sixty".