87486668200 has 48 divisors (see below), whose sum is σ = 215371600380. Its totient is φ = 32936156160.

The previous prime is 87486668173. The next prime is 87486668219. The reversal of 87486668200 is 286668478.

It can be written as a sum of positive squares in 6 ways, for example, as 50471216964 + 37015451236 = 224658^2 + 192394^2 .

It is a super-2 number, since 2×87486668200² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 12862287 + ... + 12869086.

Almost surely, 2^87486668200 is an apocalyptic number.

It is an amenable number.

87486668200 is an abundant number, since it is smaller than the sum of its proper divisors (127884932180).

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

87486668200 is a wasteful number, since it uses less digits than its factorization.

87486668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25731406 (or 25731397 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 87486668200 in words is "eighty-seven billion, four hundred eighty-six million, six hundred sixty-eight thousand, two hundred".