18777789388800 has 1728 divisors, whose sum is σ = 80027046066240. Its totient is φ = 4160665681920.

The previous prime is 18777789388733. The next prime is 18777789388871. The reversal of 18777789388800 is 888398777781.

18777789388800 is a `hidden beast` number, since 1 + 87 + 7 + 7 + 7 + 89 + 388 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18777789388800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2342242392 + ... + 2342250408.

It is an arithmetic number, because the mean of its divisors is an integer number (46311947955).

Almost surely, 2^{18777789388800} is an apocalyptic number.

18777789388800 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 18777789388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40013523033120).

18777789388800 is an abundant number, since it is smaller than the sum of its proper divisors (61249256677440).

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

18777789388800 is a wasteful number, since it uses less digits than its factorization.

18777789388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8080 counting only the distinct ones).

The product of its (nonzero) digits is 2124251136, while the sum is 81.

The spelling of 18777789388800 in words is "eighteen trillion, seven hundred seventy-seven billion, seven hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred".