87666508600 has 72 divisors (see below), whose sum is σ = 224038707480. Its totient is φ = 31878721600.

The previous prime is 87666508597. The next prime is 87666508603. The reversal of 87666508600 is 680566678.

It is an interprime number because it is at equal distance from previous prime (87666508597) and next prime (87666508603).

It is a super-2 number, since 2×87666508600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87666508603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1787092 + ... + 1835491.

It is an arithmetic number, because the mean of its divisors is an integer number (3111648715).

Almost surely, 2^87666508600 is an apocalyptic number.

It is an amenable number.

87666508600 is an abundant number, since it is smaller than the sum of its proper divisors (136372198880).

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

87666508600 is a wasteful number, since it uses less digits than its factorization.

87666508600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622621 (or 3622601 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 87666508600 in words is "eighty-seven billion, six hundred sixty-six million, five hundred eight thousand, six hundred".