87468879168 has 168 divisors, whose sum is σ = 275476350240. Its totient is φ = 26314767360.

The previous prime is 87468879143. The next prime is 87468879217. The reversal of 87468879168 is 86197886478.

87468879168 is a `hidden beast` number, since 87 + 468 + 8 + 79 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87468879096 and 87468879105.

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, 831046 + ... + 930362.

It is an arithmetic number, because the mean of its divisors is an integer number (1639740180).

Almost surely, 2^87468879168 is an apocalyptic number.

87468879168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87468879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137738175120).

87468879168 is an abundant number, since it is smaller than the sum of its proper divisors (188007471072).

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

87468879168 is a wasteful number, since it uses less digits than its factorization.

87468879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99485 (or 99472 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 87468879168 in words is "eighty-seven billion, four hundred sixty-eight million, eight hundred seventy-nine thousand, one hundred sixty-eight".