12861760032 has 288 divisors, whose sum is σ = 41275241280. Its totient is φ = 3764828160.

The previous prime is 12861760019. The next prime is 12861760133. The reversal of 12861760032 is 23006716821.

12861760032 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 17 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12861760032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20981358 + ... + 20981970.

It is an arithmetic number, because the mean of its divisors is an integer number (143316810).

Almost surely, 2^12861760032 is an apocalyptic number.

12861760032 is a gapful number since it is divisible by the number (12) 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 12861760032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637620640).

12861760032 is an abundant number, since it is smaller than the sum of its proper divisors (28413481248).

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

12861760032 is a wasteful number, since it uses less digits than its factorization.

12861760032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12861760032 in words is "twelve billion, eight hundred sixty-one million, seven hundred sixty thousand, thirty-two".