20818218093120 has 448 divisors, whose sum is σ = 84397535040000. Its totient is φ = 4732157583360.

The previous prime is 20818218093103. The next prime is 20818218093133. The reversal of 20818218093120 is 2139081281802.

20818218093120 is a `hidden beast` number, since 2 + 0 + 81 + 82 + 180 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9996006 + ... + 11897754.

It is an arithmetic number, because the mean of its divisors is an integer number (188387355000).

Almost surely, 2^{20818218093120} is an apocalyptic number.

20818218093120 is a gapful number since it is divisible by the number (20) 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 20818218093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42198767520000).

20818218093120 is an abundant number, since it is smaller than the sum of its proper divisors (63579316946880).

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

20818218093120 is a wasteful number, since it uses less digits than its factorization.

20818218093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901963 (or 1901947 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20818218093120 in words is "twenty trillion, eight hundred eighteen billion, two hundred eighteen million, ninety-three thousand, one hundred twenty".