87663836877300 has 648 divisors, whose sum is σ = 293306534708096. Its totient is φ = 21895563755520.

The previous prime is 87663836877269. The next prime is 87663836877311. The reversal of 87663836877300 is 377863836678.

87663836877300 is a `hidden beast` number, since 87 + 66 + 38 + 368 + 77 + 30 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61604944389 + ... + 61604945811.

Almost surely, 2^{87663836877300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87663836877300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146653267354048).

87663836877300 is an abundant number, since it is smaller than the sum of its proper divisors (205642697830796).

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

87663836877300 is a wasteful number, since it uses less digits than its factorization.

87663836877300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 87663836877300 in words is "eighty-seven trillion, six hundred sixty-three billion, eight hundred thirty-six million, eight hundred seventy-seven thousand, three hundred".