87130617410320 has 160 divisors (see below), whose sum is σ = 223504209815040. Its totient is φ = 31325363435520.

The previous prime is 87130617410261. The next prime is 87130617410323. The reversal of 87130617410320 is 2301471603178.

It is a happy number.

It is a super-3 number, since 3×87130617410320³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87130617410323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43430002 + ... + 45391918.

It is an arithmetic number, because the mean of its divisors is an integer number (1396901311344).

Almost surely, 2^{87130617410320} is an apocalyptic number.

87130617410320 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 87130617410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111752104907520).

87130617410320 is an abundant number, since it is smaller than the sum of its proper divisors (136373592404720).

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

87130617410320 is a wasteful number, since it uses less digits than its factorization.

87130617410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962513 (or 1962507 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 87130617410320 in words is "eighty-seven trillion, one hundred thirty billion, six hundred seventeen million, four hundred ten thousand, three hundred twenty".