12816701798400 has 1152 divisors, whose sum is σ = 50470204075200. Its totient is φ = 3216263086080.

The previous prime is 12816701798387. The next prime is 12816701798423. The reversal of 12816701798400 is 489710761821.

12816701798400 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 67 + 0 + 179 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903561434 + ... + 1903568166.

Almost surely, 2^{12816701798400} is an apocalyptic number.

12816701798400 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 12816701798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235102037600).

12816701798400 is an abundant number, since it is smaller than the sum of its proper divisors (37653502276800).

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

12816701798400 is an frugal number, since it uses more digits than its factorization.

12816701798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 12816701798400 in words is "twelve trillion, eight hundred sixteen billion, seven hundred one million, seven hundred ninety-eight thousand, four hundred".