18076867856100 has 729 divisors, whose sum is σ = 61274569251441. Its totient is φ = 4628559801600.

The previous prime is 18076867856059. The next prime is 18076867856111. The reversal of 18076867856100 is 165876867081.

The square root of 18076867856100 is 4251690.

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

18076867856100 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 6 + 8 + 6 + 7 + 8 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18074112865956 + 2754990144 = 4251366^2 + 52488^2 .

It is a tau number, because it is divible by the number of its divisors (729).

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 242 ways as a sum of consecutive naturals, for example, 99872198010 + ... + 99872198190.

Almost surely, 2^{18076867856100} is an apocalyptic number.

18076867856100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18076867856100 is the 4251690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18076867856100

18076867856100 is an abundant number, since it is smaller than the sum of its proper divisors (43197701395341).

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

18076867856100 is an frugal number, since it uses more digits than its factorization.

18076867856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 18076867856100 in words is "eighteen trillion, seventy-six billion, eight hundred sixty-seven million, eight hundred fifty-six thousand, one hundred".