87170160000 has 1280 divisors, whose sum is σ = 371671027200. Its totient is φ = 17571840000.

The previous prime is 87170159981. The next prime is 87170160031. The reversal of 87170160000 is 6107178.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 87170160000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 979439956 + ... + 979440044.

It is an arithmetic number, because the mean of its divisors is an integer number (290367990).

Almost surely, 2^87170160000 is an apocalyptic number.

87170160000 is a gapful number since it is divisible by the number (80) 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 87170160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185835513600).

87170160000 is an abundant number, since it is smaller than the sum of its proper divisors (284500867200).

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

87170160000 is a wasteful number, since it uses less digits than its factorization.

87170160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 87170160000 its reverse (6107178), we get a palindrome (87176267178).

The spelling of 87170160000 in words is "eighty-seven billion, one hundred seventy million, one hundred sixty thousand".