87056272809 has 27 divisors (see below), whose sum is σ = 138234281367. Its totient is φ = 52755476400.

The previous prime is 87056272799. The next prime is 87056272811. The reversal of 87056272809 is 90827265078.

It is a happy number.

The square root of 87056272809 is 295053.

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

87056272809 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 627 + 2 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57382765209 + 29673507600 = 239547^2 + 172260^2 .

It is a de Polignac number, because none of the positive numbers 2^k-87056272809 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87056272829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9732279 + ... + 9741219.

Almost surely, 2^87056272809 is an apocalyptic number.

87056272809 is the 295053-rd square number.

87056272809 is the 147527-th centered octagonal number.

It is an amenable number.

87056272809 is a deficient number, since it is larger than the sum of its proper divisors (51178008558).

87056272809 is an frugal number, since it uses more digits than its factorization.

87056272809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17910 (or 8955 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 87056272809 in words is "eighty-seven billion, fifty-six million, two hundred seventy-two thousand, eight hundred nine".