87166586100 has 72 divisors (see below), whose sum is σ = 275129453088. Its totient is φ = 21131292800.

The previous prime is 87166586093. The next prime is 87166586119. The reversal of 87166586100 is 168566178.

It is a self number, because there is not a number n which added to its sum of digits gives 87166586100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13203759 + ... + 13210358.

It is an arithmetic number, because the mean of its divisors is an integer number (3821242404).

Almost surely, 2^87166586100 is an apocalyptic number.

It is an amenable number.

87166586100 is an abundant number, since it is smaller than the sum of its proper divisors (187962866988).

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

87166586100 is a wasteful number, since it uses less digits than its factorization.

87166586100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26414145 (or 26414138 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 87166586100 in words is "eighty-seven billion, one hundred sixty-six million, five hundred eighty-six thousand, one hundred".