18960128066880 has 4032 divisors, whose sum is σ = 93632807278080. Its totient is φ = 3576545280000.

The previous prime is 18960128066879. The next prime is 18960128066939. The reversal of 18960128066880 is 8866082106981.

18960128066880 is a `hidden beast` number, since 18 + 9 + 601 + 2 + 8 + 0 + 6 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47282114680 + ... + 47282115080.

It is an arithmetic number, because the mean of its divisors is an integer number (23222422440).

Almost surely, 2^{18960128066880} is an apocalyptic number.

18960128066880 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 18960128066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816403639040).

18960128066880 is an abundant number, since it is smaller than the sum of its proper divisors (74672679211200).

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

18960128066880 is a wasteful number, since it uses less digits than its factorization.

18960128066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 18960128066880 in words is "eighteen trillion, nine hundred sixty billion, one hundred twenty-eight million, sixty-six thousand, eight hundred eighty".