87261418209 has 64 divisors (see below), whose sum is σ = 142245642240. Its totient is φ = 46529683200.

The previous prime is 87261418177. The next prime is 87261418241. The reversal of 87261418209 is 90281416278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87261418177) and next prime (87261418241).

It is not a de Polignac number, because 87261418209 - 2⁵ = 87261418177 is a prime.

It is a super-3 number, since 3×87261418209³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (87261418249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2142384 + ... + 2182734.

It is an arithmetic number, because the mean of its divisors is an integer number (2222588160).

Almost surely, 2^87261418209 is an apocalyptic number.

It is an amenable number.

87261418209 is a deficient number, since it is larger than the sum of its proper divisors (54984224031).

87261418209 is a wasteful number, since it uses less digits than its factorization.

87261418209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40510.

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 87261418209 in words is "eighty-seven billion, two hundred sixty-one million, four hundred eighteen thousand, two hundred nine".