12753112320 has 864 divisors, whose sum is σ = 50997832704. Its totient is φ = 2919628800.

The previous prime is 12753112261. The next prime is 12753112327. The reversal of 12753112320 is 2321135721.

12753112320 is a `hidden beast` number, since 1 + 2 + 7 + 531 + 123 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12753112327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190344927 + ... + 190344993.

Almost surely, 2^12753112320 is an apocalyptic number.

12753112320 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 12753112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498916352).

12753112320 is an abundant number, since it is smaller than the sum of its proper divisors (38244720384).

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

12753112320 is a wasteful number, since it uses less digits than its factorization.

12753112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12753112320 in words is "twelve billion, seven hundred fifty-three million, one hundred twelve thousand, three hundred twenty".