87636189828096 has 1408 divisors, whose sum is σ = 356023148544000. Its totient is φ = 20608162725888.

The previous prime is 87636189828059. The next prime is 87636189828097. The reversal of 87636189828096 is 69082898163678.

87636189828096 is a `hidden beast` number, since 8 + 7 + 6 + 361 + 8 + 98 + 2 + 80 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87636189828097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 812603745 + ... + 812711583.

Almost surely, 2^{87636189828096} 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 87636189828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178011574272000).

87636189828096 is an abundant number, since it is smaller than the sum of its proper divisors (268386958715904).

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

87636189828096 is a wasteful number, since it uses less digits than its factorization.

87636189828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107924 (or 107900 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 87636189828096 in words is "eighty-seven trillion, six hundred thirty-six billion, one hundred eighty-nine million, eight hundred twenty-eight thousand, ninety-six".