12787261061184 has 63 divisors (see below), whose sum is σ = 36652621016557. Its totient is φ = 4262391746304.

The previous prime is 12787261061177. The next prime is 12787261061189. The reversal of 12787261061184 is 48116016278721.

It is a happy number.

The square root of 12787261061184 is 3575928.

It is a perfect power (a square), and thus also a powerful number.

12787261061184 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 2 + 6 + 10 + 611 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12786917774400 + 343286784 = 3575880^2 + 18528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12787261061184.

It is not an unprimeable number, because it can be changed into a prime (12787261061189) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85747774 + ... + 85896770.

Almost surely, 2^{12787261061184} is an apocalyptic number.

12787261061184 is the 3575928-th square number.

It is an amenable number.

12787261061184 is an abundant number, since it is smaller than the sum of its proper divisors (23865359955373).

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

12787261061184 is an frugal number, since it uses more digits than its factorization.

12787261061184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298012 (or 149002 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 12787261061184 in words is "twelve trillion, seven hundred eighty-seven billion, two hundred sixty-one million, sixty-one thousand, one hundred eighty-four".