12780535622400 has 5184 divisors, whose sum is σ = 63288977024000. Its totient is φ = 2528292372480.

The previous prime is 12780535622341. The next prime is 12780535622441. The reversal of 12780535622400 is 422653508721.

12780535622400 is a `hidden beast` number, since 1 + 2 + 7 + 80 + 5 + 3 + 562 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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 575 ways as a sum of consecutive naturals, for example, 131758099152 + ... + 131758099248.

Almost surely, 2^{12780535622400} is an apocalyptic number.

12780535622400 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 12780535622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31644488512000).

12780535622400 is an abundant number, since it is smaller than the sum of its proper divisors (50508441401600).

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

12780535622400 is an equidigital number, since it uses as much as digits as its factorization.

12780535622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12780535622400 in words is "twelve trillion, seven hundred eighty billion, five hundred thirty-five million, six hundred twenty-two thousand, four hundred".