12953613153024 has 288 divisors, whose sum is σ = 38975571514880. Its totient is φ = 4242560716800.

The previous prime is 12953613152999. The next prime is 12953613153097. The reversal of 12953613153024 is 42035131635921.

12953613153024 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 3 + 61 + 31 + 530 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407702259 + ... + 407734029.

Almost surely, 2^{12953613153024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953613153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487785757440).

12953613153024 is an abundant number, since it is smaller than the sum of its proper divisors (26021958361856).

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

12953613153024 is an equidigital number, since it uses as much as digits as its factorization.

12953613153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32824 (or 32804 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

Adding to 12953613153024 its reverse (42035131635921), we get a palindrome (54988744788945).

The spelling of 12953613153024 in words is "twelve trillion, nine hundred fifty-three billion, six hundred thirteen million, one hundred fifty-three thousand, twenty-four".