12887922960 has 360 divisors, whose sum is σ = 49345383360. Its totient is φ = 3123774720.

The previous prime is 12887922959. The next prime is 12887922997. The reversal of 12887922960 is 6922978821.

12887922960 is a `hidden beast` number, since 1 + 288 + 79 + 2 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12887922897 and 12887922906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2349501 + ... + 2354979.

Almost surely, 2^12887922960 is an apocalyptic number.

12887922960 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 12887922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672691680).

12887922960 is an abundant number, since it is smaller than the sum of its proper divisors (36457460400).

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

12887922960 is a wasteful number, since it uses less digits than its factorization.

12887922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12887922960 in words is "twelve billion, eight hundred eighty-seven million, nine hundred twenty-two thousand, nine hundred sixty".