87185901312 has 360 divisors, whose sum is σ = 274861054160. Its totient is φ = 27487475712.

The previous prime is 87185901301. The next prime is 87185901317. The reversal of 87185901312 is 21310958178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87185901317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142227918 + ... + 142228530.

Almost surely, 2^87185901312 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 87185901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137430527080).

87185901312 is an abundant number, since it is smaller than the sum of its proper divisors (187675152848).

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

87185901312 is an frugal number, since it uses more digits than its factorization.

87185901312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 87185901312 in words is "eighty-seven billion, one hundred eighty-five million, nine hundred one thousand, three hundred twelve".