18778355560000 has 315 divisors, whose sum is σ = 47679451860997. Its totient is φ = 7335579520000.

The previous prime is 18778355559961. The next prime is 18778355560007. The reversal of 18778355560000 is 6555387781.

The square root of 18778355560000 is 4333400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16942048709184 + 1836306850816 = 4116072^2 + 1355104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18778355560007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40733959770 + ... + 40733960230.

Almost surely, 2^{18778355560000} is an apocalyptic number.

18778355560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18778355560000 is the 4333400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18778355560000

18778355560000 is an abundant number, since it is smaller than the sum of its proper divisors (28901096300997).

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

18778355560000 is an frugal number, since it uses more digits than its factorization.

18778355560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 18778355560000 in words is "eighteen trillion, seven hundred seventy-eight billion, three hundred fifty-five million, five hundred sixty thousand".