87612715008 has 936 divisors, whose sum is σ = 327371335200. Its totient is φ = 22543073280.

The previous prime is 87612714979. The next prime is 87612715009. The reversal of 87612715008 is 80051721678.

It is a happy number.

87612715008 is a `hidden beast` number, since 8 + 76 + 1 + 2 + 71 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87612715009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2136895468 + ... + 2136895508.

It is an arithmetic number, because the mean of its divisors is an integer number (349755700).

Almost surely, 2^87612715008 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 87612715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163685667600).

87612715008 is an abundant number, since it is smaller than the sum of its proper divisors (239758620192).

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

87612715008 is a wasteful number, since it uses less digits than its factorization.

87612715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 87612715008 in words is "eighty-seven billion, six hundred twelve million, seven hundred fifteen thousand, eight".