12828533760000 has 1960 divisors, whose sum is σ = 55045233311904. Its totient is φ = 2926264320000.

The previous prime is 12828533759983. The next prime is 12828533760089. The reversal of 12828533760000 is 6733582821.

12828533760000 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 5 + 3 + 37 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×12828533760000³ (a number of 40 digits) contains 333 as substring.

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 139 ways as a sum of consecutive naturals, for example, 26127359755 + ... + 26127360245.

Almost surely, 2^{12828533760000} is an apocalyptic number.

12828533760000 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 12828533760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27522616655952).

12828533760000 is an abundant number, since it is smaller than the sum of its proper divisors (42216699551904).

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

12828533760000 is an frugal number, since it uses more digits than its factorization.

12828533760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12828533760000 in words is "twelve trillion, eight hundred twenty-eight billion, five hundred thirty-three million, seven hundred sixty thousand".