12757248000 has 864 divisors, whose sum is σ = 53963680680. Its totient is φ = 2890137600.

The previous prime is 12757247983. The next prime is 12757248043. The reversal of 12757248000 is 84275721.

12757248000 is a `hidden beast` number, since 1 + 2 + 7 + 572 + 4 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 759112704 + 11998135296 = 27552^2 + 109536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112895944 + ... + 112896056.

Almost surely, 2^12757248000 is an apocalyptic number.

12757248000 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 12757248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26981840340).

12757248000 is an abundant number, since it is smaller than the sum of its proper divisors (41206432680).

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

12757248000 is a wasteful number, since it uses less digits than its factorization.

12757248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12757248000 in words is "twelve billion, seven hundred fifty-seven million, two hundred forty-eight thousand".