12903413760 has 288 divisors, whose sum is σ = 47081034000. Its totient is φ = 3259367424.

The previous prime is 12903413749. The next prime is 12903413767. The reversal of 12903413760 is 6731430921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12903413767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747356 + ... + 1754724.

Almost surely, 2^12903413760 is an apocalyptic number.

12903413760 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 12903413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540517000).

12903413760 is an abundant number, since it is smaller than the sum of its proper divisors (34177620240).

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

12903413760 is a wasteful number, since it uses less digits than its factorization.

12903413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7421 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12903413760 in words is "twelve billion, nine hundred three million, four hundred thirteen thousand, seven hundred sixty".