13087767760804 has 135 divisors (see below), whose sum is σ = 26795536719301. Its totient is φ = 5589204881920.

The previous prime is 13087767760799. The next prime is 13087767760811. The reversal of 13087767760804 is 40806776778031.

The square root of 13087767760804 is 3617702.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3714863050404 + 9372904710400 = 1927398^2 + 3061520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23001349032 + ... + 23001349600.

Almost surely, 2^{13087767760804} is an apocalyptic number.

13087767760804 is the 3617702-nd square number.

It is an amenable number.

13087767760804 is an abundant number, since it is smaller than the sum of its proper divisors (13707768958497).

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

13087767760804 is an frugal number, since it uses more digits than its factorization.

13087767760804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 64.

Multiplying 13087767760804 by its sum of digits (64), we get a square (837617136691456 = 28941616²).

The spelling of 13087767760804 in words is "thirteen trillion, eighty-seven billion, seven hundred sixty-seven million, seven hundred sixty thousand, eight hundred four".