12930653760 has 112 divisors (see below), whose sum is σ = 41119690176. Its totient is φ = 3442726912.

The previous prime is 12930653707. The next prime is 12930653761. The reversal of 12930653760 is 6735603921.

It is a super-2 number, since 2×12930653760² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12930653761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616567 + ... + 637193.

Almost surely, 2^12930653760 is an apocalyptic number.

12930653760 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 12930653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559845088).

12930653760 is an abundant number, since it is smaller than the sum of its proper divisors (28189036416).

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

12930653760 is a wasteful number, since it uses less digits than its factorization.

12930653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 12930653760 in words is "twelve billion, nine hundred thirty million, six hundred fifty-three thousand, seven hundred sixty".