17987648168160 has 576 divisors, whose sum is σ = 71025710595840. Its totient is φ = 4099590144000.

The previous prime is 17987648168111. The next prime is 17987648168213. The reversal of 17987648168160 is 6186184678971.

17987648168160 is a `hidden beast` number, since 1 + 7 + 9 + 8 + 7 + 6 + 481 + 6 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39197640 + ... + 39653880.

It is an arithmetic number, because the mean of its divisors is an integer number (123308525340).

Almost surely, 2^{17987648168160} is an apocalyptic number.

17987648168160 is a gapful number since it is divisible by the number (10) 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 17987648168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35512855297920).

17987648168160 is an abundant number, since it is smaller than the sum of its proper divisors (53038062427680).

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

17987648168160 is a wasteful number, since it uses less digits than its factorization.

17987648168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456423 (or 456412 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 17987648168160 in words is "seventeen trillion, nine hundred eighty-seven billion, six hundred forty-eight million, one hundred sixty-eight thousand, one hundred sixty".