12874782960 has 240 divisors, whose sum is σ = 46811628864. Its totient is φ = 3152314368.

The previous prime is 12874782929. The next prime is 12874782967. The reversal of 12874782960 is 6928747821.

It is a happy number.

12874782960 is a `hidden beast` number, since 1 + 2 + 87 + 478 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 12874782897 and 12874782906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874782967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802917 + ... + 1810043.

Almost surely, 2^12874782960 is an apocalyptic number.

12874782960 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 12874782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405814432).

12874782960 is an abundant number, since it is smaller than the sum of its proper divisors (33936845904).

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

12874782960 is a wasteful number, since it uses less digits than its factorization.

12874782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12874782960 in words is "twelve billion, eight hundred seventy-four million, seven hundred eighty-two thousand, nine hundred sixty".