18986161682880 has 1792 divisors, whose sum is σ = 86795491737600. Its totient is φ = 3805517168640.

The previous prime is 18986161682821. The next prime is 18986161682893. The reversal of 18986161682880 is 8828616168981.

18986161682880 is a `hidden beast` number, since 189 + 8 + 6 + 1 + 6 + 168 + 288 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 18986161682799 and 18986161682808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 819310974 + ... + 819334146.

Almost surely, 2^{18986161682880} is an apocalyptic number.

18986161682880 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 18986161682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43397745868800).

18986161682880 is an abundant number, since it is smaller than the sum of its proper divisors (67809330054720).

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

18986161682880 is a wasteful number, since it uses less digits than its factorization.

18986161682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23279 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 18986161682880 in words is "eighteen trillion, nine hundred eighty-six billion, one hundred sixty-one million, six hundred eighty-two thousand, eight hundred eighty".