12960073526400 has 2304 divisors, whose sum is σ = 64038058444800. Its totient is φ = 2485632614400.

The previous prime is 12960073526377. The next prime is 12960073526467. The reversal of 12960073526400 is 462537006921.

12960073526400 is a `hidden beast` number, since 1 + 2 + 9 + 600 + 7 + 35 + 2 + 6 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1124317437 + ... + 1124328963.

It is an arithmetic number, because the mean of its divisors is an integer number (27794296200).

Almost surely, 2^{12960073526400} is an apocalyptic number.

12960073526400 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 12960073526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019029222400).

12960073526400 is an abundant number, since it is smaller than the sum of its proper divisors (51077984918400).

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

12960073526400 is a wasteful number, since it uses less digits than its factorization.

12960073526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12960073526400 in words is "twelve trillion, nine hundred sixty billion, seventy-three million, five hundred twenty-six thousand, four hundred".