12728628057600 has 1920 divisors, whose sum is σ = 60005339412480. Its totient is φ = 2568689418240.

The previous prime is 12728628057583. The next prime is 12728628057601. The reversal of 12728628057600 is 675082682721.

12728628057600 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 6 + 28 + 0 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728628057601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 723332002 + ... + 723349598.

It is an arithmetic number, because the mean of its divisors is an integer number (31252780944).

Almost surely, 2^{12728628057600} is an apocalyptic number.

12728628057600 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 12728628057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30002669706240).

12728628057600 is an abundant number, since it is smaller than the sum of its proper divisors (47276711354880).

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

12728628057600 is a wasteful number, since it uses less digits than its factorization.

12728628057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17677 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12728628057600 in words is "twelve trillion, seven hundred twenty-eight billion, six hundred twenty-eight million, fifty-seven thousand, six hundred".