12750194668320 has 960 divisors, whose sum is σ = 48280008268800. Its totient is φ = 3159357696000.

The previous prime is 12750194668273. The next prime is 12750194668327. The reversal of 12750194668320 is 2386649105721.

It is a happy number.

12750194668320 is a `hidden beast` number, since 1 + 2 + 7 + 501 + 9 + 46 + 68 + 32 + 0 = 666.

It is a super-3 number, since 3×12750194668320³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12750194668327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4141016541 + ... + 4141019619.

It is an arithmetic number, because the mean of its divisors is an integer number (50291675280).

It is a 1-persistent number, because it is pandigital, but 2⋅12750194668320 = 25500389336640 is not.

Almost surely, 2^{12750194668320} is an apocalyptic number.

12750194668320 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 12750194668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140004134400).

12750194668320 is an abundant number, since it is smaller than the sum of its proper divisors (35529813600480).

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

12750194668320 is a wasteful number, since it uses less digits than its factorization.

12750194668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12750194668320 in words is "twelve trillion, seven hundred fifty billion, one hundred ninety-four million, six hundred sixty-eight thousand, three hundred twenty".