18057723100800 has 384 divisors, whose sum is σ = 61420679301120. Its totient is φ = 4658204160000.

The previous prime is 18057723100783. The next prime is 18057723100811. The reversal of 18057723100800 is 800132775081.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 848446959 + ... + 848468241.

It is an arithmetic number, because the mean of its divisors is an integer number (159949685680).

Almost surely, 2^{18057723100800} is an apocalyptic number.

18057723100800 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 18057723100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710339650560).

18057723100800 is an abundant number, since it is smaller than the sum of its proper divisors (43362956200320).

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

18057723100800 is a wasteful number, since it uses less digits than its factorization.

18057723100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24192 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

Adding to 18057723100800 its reverse (800132775081), we get a palindrome (18857855875881).

The spelling of 18057723100800 in words is "eighteen trillion, fifty-seven billion, seven hundred twenty-three million, one hundred thousand, eight hundred".