18071806579200 has 1440 divisors, whose sum is σ = 73760399032320. Its totient is φ = 4345502515200.

The previous prime is 18071806579199. The next prime is 18071806579207. The reversal of 18071806579200 is 297560817081.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (18071806579207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4345226721 + ... + 4345230879.

It is an arithmetic number, because the mean of its divisors is an integer number (51222499328).

Almost surely, 2^{18071806579200} is an apocalyptic number.

18071806579200 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 18071806579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880199516160).

18071806579200 is an abundant number, since it is smaller than the sum of its proper divisors (55688592453120).

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

18071806579200 is a wasteful number, since it uses less digits than its factorization.

18071806579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 18071806579200 in words is "eighteen trillion, seventy-one billion, eight hundred six million, five hundred seventy-nine thousand, two hundred".