12750350400 has 336 divisors, whose sum is σ = 47145732480. Its totient is φ = 3351398400.

The previous prime is 12750350383. The next prime is 12750350401. The reversal of 12750350400 is 405305721.

It is a happy number.

12750350400 is a `hidden beast` number, since 1 + 275 + 0 + 350 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12750350401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3065122 + ... + 3069278.

It is an arithmetic number, because the mean of its divisors is an integer number (140314680).

Almost surely, 2^12750350400 is an apocalyptic number.

12750350400 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 12750350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572866240).

12750350400 is an abundant number, since it is smaller than the sum of its proper divisors (34395382080).

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

12750350400 is a wasteful number, since it uses less digits than its factorization.

12750350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 12750350400 in words is "twelve billion, seven hundred fifty million, three hundred fifty thousand, four hundred".