12938434560 has 480 divisors, whose sum is σ = 48875626800. Its totient is φ = 3264675840.

The previous prime is 12938434501. The next prime is 12938434591. The reversal of 12938434560 is 6543483921.

12938434560 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 84 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15758950 + ... + 15759770.

Almost surely, 2^12938434560 is an apocalyptic number.

12938434560 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 12938434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437813400).

12938434560 is an abundant number, since it is smaller than the sum of its proper divisors (35937192240).

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

12938434560 is an equidigital number, since it uses as much as digits as its factorization.

12938434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12938434560 in words is "twelve billion, nine hundred thirty-eight million, four hundred thirty-four thousand, five hundred sixty".