12752561596320 has 1536 divisors, whose sum is σ = 59172966236160. Its totient is φ = 2490589347840.

The previous prime is 12752561596279. The next prime is 12752561596337. The reversal of 12752561596320 is 2369516525721.

12752561596320 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 2 + 561 + 59 + 6 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 280271812 + ... + 280317308.

It is an arithmetic number, because the mean of its divisors is an integer number (38524066560).

Almost surely, 2^{12752561596320} is an apocalyptic number.

12752561596320 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 12752561596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29586483118080).

12752561596320 is an abundant number, since it is smaller than the sum of its proper divisors (46420404639840).

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

12752561596320 is a wasteful number, since it uses less digits than its factorization.

12752561596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45595 (or 45581 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 12752561596320 in words is "twelve trillion, seven hundred fifty-two billion, five hundred sixty-one million, five hundred ninety-six thousand, three hundred twenty".