12891584160 has 960 divisors, whose sum is σ = 59381828352. Its totient is φ = 2556002304.

The previous prime is 12891584119. The next prime is 12891584179. The reversal of 12891584160 is 6148519821.

It is a happy number.

12891584160 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 1 + 584 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20048799 + ... + 20049441.

Almost surely, 2^12891584160 is an apocalyptic number.

12891584160 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 12891584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29690914176).

12891584160 is an abundant number, since it is smaller than the sum of its proper divisors (46490244192).

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

12891584160 is a wasteful number, since it uses less digits than its factorization.

12891584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12891584160 in words is "twelve billion, eight hundred ninety-one million, five hundred eighty-four thousand, one hundred sixty".