12753305600000 has 552 divisors, whose sum is σ = 36697806815040. Its totient is φ = 4341104640000.

The previous prime is 12753305599999. The next prime is 12753305600093. The reversal of 12753305600000 is 650335721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12753305600000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91750399931 + ... + 91750400069.

Almost surely, 2^{12753305600000} is an apocalyptic number.

12753305600000 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 12753305600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348903407520).

12753305600000 is an abundant number, since it is smaller than the sum of its proper divisors (23944501215040).

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

12753305600000 is an frugal number, since it uses more digits than its factorization.

12753305600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 12753305600000 its reverse (650335721), we get a palindrome (12753955935721).

The spelling of 12753305600000 in words is "twelve trillion, seven hundred fifty-three billion, three hundred five million, six hundred thousand".