12893953320 has 192 divisors, whose sum is σ = 43840602000. Its totient is φ = 3282284544.

The previous prime is 12893953277. The next prime is 12893953379. The reversal of 12893953320 is 2335939821.

12893953320 is a `hidden beast` number, since 1 + 2 + 8 + 93 + 9 + 533 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1174158756 + 11719794564 = 34266^2 + 108258^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 922222 + ... + 936098.

Almost surely, 2^12893953320 is an apocalyptic number.

12893953320 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 12893953320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920301000).

12893953320 is an abundant number, since it is smaller than the sum of its proper divisors (30946648680).

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

12893953320 is a wasteful number, since it uses less digits than its factorization.

12893953320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012 (or 14005 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12893953320 in words is "twelve billion, eight hundred ninety-three million, nine hundred fifty-three thousand, three hundred twenty".