12753661435200 has 2016 divisors, whose sum is σ = 55054378080000. Its totient is φ = 2795666227200.

The previous prime is 12753661435159. The next prime is 12753661435213. The reversal of 12753661435200 is 253416635721.

12753661435200 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 3 + 6 + 6 + 1 + 435 + 200 = 666.

12753661435200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38530699035 + ... + 38530699365.

Almost surely, 2^{12753661435200} is an apocalyptic number.

12753661435200 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 12753661435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527189040000).

12753661435200 is an abundant number, since it is smaller than the sum of its proper divisors (42300716644800).

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

12753661435200 is a wasteful number, since it uses less digits than its factorization.

12753661435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 12753661435200 in words is "twelve trillion, seven hundred fifty-three billion, six hundred sixty-one million, four hundred thirty-five thousand, two hundred".