87986763775876 has 81 divisors (see below), whose sum is σ = 179572877690031. Its totient is φ = 37612654357824.

The previous prime is 87986763775843. The next prime is 87986763775907. The reversal of 87986763775876 is 67857736768978.

The square root of 87986763775876 is 9380126.

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

It can be written as a sum of positive squares in 4 ways, for example, as 359191654276 + 87627572121600 = 599326^2 + 9360960^2 .

Its product of digits (250927165440) is a multiple of the sum of its prime divisors (1715).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80500240786 + ... + 80500241878.

Almost surely, 2^{87986763775876} is an apocalyptic number.

87986763775876 is the 9380126-th square number.

It is an amenable number.

87986763775876 is an abundant number, since it is smaller than the sum of its proper divisors (91586113914155).

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

87986763775876 is an frugal number, since it uses more digits than its factorization.

87986763775876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 1715 counting only the distinct ones).

The product of its digits is 250927165440, while the sum is 94.

The spelling of 87986763775876 in words is "eighty-seven trillion, nine hundred eighty-six billion, seven hundred sixty-three million, seven hundred seventy-five thousand, eight hundred seventy-six".