12819148594560 has 4608 divisors, whose sum is σ = 62351159270400. Its totient is φ = 2483144294400.

The previous prime is 12819148594519. The next prime is 12819148594589. The reversal of 12819148594560 is 6549584191821.

12819148594560 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 9 + 1 + 485 + 94 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 117606867786 + ... + 117606867894.

It is an arithmetic number, because the mean of its divisors is an integer number (13531067550).

Almost surely, 2^{12819148594560} is an apocalyptic number.

12819148594560 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 12819148594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31175579635200).

12819148594560 is an abundant number, since it is smaller than the sum of its proper divisors (49532010675840).

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

12819148594560 is a wasteful number, since it uses less digits than its factorization.

12819148594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 12819148594560 in words is "twelve trillion, eight hundred nineteen billion, one hundred forty-eight million, five hundred ninety-four thousand, five hundred sixty".