87117211584 has 448 divisors, whose sum is σ = 285033598080. Its totient is φ = 25918341120.

The previous prime is 87117211537. The next prime is 87117211663. The reversal of 87117211584 is 48511271178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233558022 + ... + 233558394.

It is an arithmetic number, because the mean of its divisors is an integer number (636235710).

Almost surely, 2^87117211584 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 87117211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142516799040).

87117211584 is an abundant number, since it is smaller than the sum of its proper divisors (197916386496).

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

87117211584 is a wasteful number, since it uses less digits than its factorization.

87117211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its digits is 125440, while the sum is 45.

The spelling of 87117211584 in words is "eighty-seven billion, one hundred seventeen million, two hundred eleven thousand, five hundred eighty-four".