18778108608000 has 2560 divisors, whose sum is σ = 85576345620480. Its totient is φ = 3961140019200.

The previous prime is 18778108607971. The next prime is 18778108608019. The reversal of 18778108608000 is 80680187781.

It is a happy number.

18778108608000 is a `hidden beast` number, since 18 + 7 + 7 + 8 + 10 + 8 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10898495139 + ... + 10898496861.

It is an arithmetic number, because the mean of its divisors is an integer number (33428260008).

Almost surely, 2^{18778108608000} is an apocalyptic number.

18778108608000 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 18778108608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42788172810240).

18778108608000 is an abundant number, since it is smaller than the sum of its proper divisors (66798237012480).

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

18778108608000 is a wasteful number, since it uses less digits than its factorization.

18778108608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 54.

The spelling of 18778108608000 in words is "eighteen trillion, seven hundred seventy-eight billion, one hundred eight million, six hundred eight thousand".