12086761360 has 40 divisors (see below), whose sum is σ = 28129433976. Its totient is φ = 4829936640.

The previous prime is 12086761331. The next prime is 12086761361. The reversal of 12086761360 is 6316768021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 581195664 + 11505565696 = 24108^2 + 107264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12086761361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7692 + ... + 155668.

Almost surely, 2^12086761360 is an apocalyptic number.

12086761360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12086761360 is an abundant number, since it is smaller than the sum of its proper divisors (16042672616).

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

12086761360 is a wasteful number, since it uses less digits than its factorization.

12086761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149011 (or 149005 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 12086761360 in words is "twelve billion, eighty-six million, seven hundred sixty-one thousand, three hundred sixty".