12005791560 has 96 divisors (see below), whose sum is σ = 44592949440. Its totient is φ = 2744180352.

The previous prime is 12005791543. The next prime is 12005791571. The reversal of 12005791560 is 6519750021.

12005791560 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 7 + 91 + 560 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2379582 + ... + 2384621.

It is an arithmetic number, because the mean of its divisors is an integer number (464509890).

Almost surely, 2^12005791560 is an apocalyptic number.

12005791560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005791560 is an abundant number, since it is smaller than the sum of its proper divisors (32587157880).

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

12005791560 is a wasteful number, since it uses less digits than its factorization.

12005791560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764227 (or 4764220 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 12005791560 in words is "twelve billion, five million, seven hundred ninety-one thousand, five hundred sixty".