87385863320 has 256 divisors, whose sum is σ = 234135982080. Its totient is φ = 28733644800.

The previous prime is 87385863307. The next prime is 87385863343. The reversal of 87385863320 is 2336858378.

It is a Cunningham number, because it is equal to 295611²-1.

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, 310981580 + ... + 310981860.

It is an arithmetic number, because the mean of its divisors is an integer number (914593680).

Almost surely, 2^87385863320 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 87385863320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117067991040).

87385863320 is an abundant number, since it is smaller than the sum of its proper divisors (146750118760).

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

87385863320 is a wasteful number, since it uses less digits than its factorization.

87385863320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 87385863320 in words is "eighty-seven billion, three hundred eighty-five million, eight hundred sixty-three thousand, three hundred twenty".