12728572416000 has 4992 divisors, whose sum is σ = 61530477465600. Its totient is φ = 2575112601600.

The previous prime is 12728572415969. The next prime is 12728572416073. The reversal of 12728572416000 is 61427582721.

12728572416000 is a `hidden beast` number, since 1 + 2 + 72 + 8 + 572 + 4 + 1 + 6 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 296013311979 + ... + 296013312021.

It is an arithmetic number, because the mean of its divisors is an integer number (12325816800).

Almost surely, 2^{12728572416000} is an apocalyptic number.

12728572416000 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 12728572416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30765238732800).

12728572416000 is an abundant number, since it is smaller than the sum of its proper divisors (48801905049600).

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

12728572416000 is a wasteful number, since it uses less digits than its factorization.

12728572416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

Adding to 12728572416000 its reverse (61427582721), we get a palindrome (12789999998721).

The spelling of 12728572416000 in words is "twelve trillion, seven hundred twenty-eight billion, five hundred seventy-two million, four hundred sixteen thousand".