12909749913600 has 576 divisors, whose sum is σ = 44193011466240. Its totient is φ = 3321077760000.

The previous prime is 12909749913539. The next prime is 12909749913623. The reversal of 12909749913600 is 631994790921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 1576085505 + ... + 1576093695.

It is an arithmetic number, because the mean of its divisors is an integer number (76723978240).

Almost surely, 2^{12909749913600} is an apocalyptic number.

12909749913600 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 12909749913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22096505733120).

12909749913600 is an abundant number, since it is smaller than the sum of its proper divisors (31283261552640).

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

12909749913600 is a wasteful number, since it uses less digits than its factorization.

12909749913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 60.

The spelling of 12909749913600 in words is "twelve trillion, nine hundred nine billion, seven hundred forty-nine million, nine hundred thirteen thousand, six hundred".