12750252768 has 288 divisors, whose sum is σ = 42809824512. Its totient is φ = 3695155200.

The previous prime is 12750252751. The next prime is 12750252769. The reversal of 12750252768 is 86725205721.

12750252768 is a `hidden beast` number, since 1 + 27 + 502 + 52 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12750252769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964088 + ... + 1970568.

It is an arithmetic number, because the mean of its divisors is an integer number (148645224).

Almost surely, 2^12750252768 is an apocalyptic number.

12750252768 is a gapful number since it is divisible by the number (18) 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 12750252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21404912256).

12750252768 is an abundant number, since it is smaller than the sum of its proper divisors (30059571744).

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

12750252768 is a wasteful number, since it uses less digits than its factorization.

12750252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 12750252768 in words is "twelve billion, seven hundred fifty million, two hundred fifty-two thousand, seven hundred sixty-eight".