12753936000 has 640 divisors, whose sum is σ = 51079588560. Its totient is φ = 3135283200.

The previous prime is 12753935947. The next prime is 12753936007. The reversal of 12753936000 is 63935721.

12753936000 is a `hidden beast` number, since 12 + 7 + 5 + 39 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24681024 + 12729254976 = 4968^2 + 112824^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12753936007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847622 + ... + 16848378.

Almost surely, 2^12753936000 is an apocalyptic number.

12753936000 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 12753936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25539794280).

12753936000 is an abundant number, since it is smaller than the sum of its proper divisors (38325652560).

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

12753936000 is an equidigital number, since it uses as much as digits as its factorization.

12753936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

It can be divided in two parts, 12753 and 936000, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 12753936000 in words is "twelve billion, seven hundred fifty-three million, nine hundred thirty-six thousand".