87185022384768 has 1536 divisors, whose sum is σ = 316253461708800. Its totient is φ = 20615880499200.

The previous prime is 87185022384767. The next prime is 87185022384821. The reversal of 87185022384768 is 86748322058178.

It is not an unprimeable number, because it can be changed into a prime (87185022384767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90160312221 + ... + 90160313187.

It is an arithmetic number, because the mean of its divisors is an integer number (205894180800).

Almost surely, 2^{87185022384768} is an apocalyptic number.

87185022384768 is a gapful number since it is divisible by the number (88) 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 87185022384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158126730854400).

87185022384768 is an abundant number, since it is smaller than the sum of its proper divisors (229068439324032).

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

87185022384768 is a wasteful number, since it uses less digits than its factorization.

87185022384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 87185022384768 in words is "eighty-seven trillion, one hundred eighty-five billion, twenty-two million, three hundred eighty-four thousand, seven hundred sixty-eight".