12871472640 has 480 divisors, whose sum is σ = 45720930816. Its totient is φ = 3086254080.

The previous prime is 12871472591. The next prime is 12871472683. The reversal of 12871472640 is 4627417821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12871472592 and 12871472601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61002135 + ... + 61002345.

Almost surely, 2^12871472640 is an apocalyptic number.

12871472640 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 12871472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860465408).

12871472640 is an abundant number, since it is smaller than the sum of its proper divisors (32849458176).

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

12871472640 is a wasteful number, since it uses less digits than its factorization.

12871472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 12871472640 in words is "twelve billion, eight hundred seventy-one million, four hundred seventy-two thousand, six hundred forty".