18102271683600 has 1680 divisors, whose sum is σ = 74710409758992. Its totient is φ = 4173688995840.

The previous prime is 18102271683563. The next prime is 18102271683623. The reversal of 18102271683600 is 638617220181.

18102271683600 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 2 + 27 + 16 + 8 + 3 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1710267603984 + 16392004079616 = 1307772^2 + 4048704^2 .

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 (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 16562004654 + ... + 16562005746.

Almost surely, 2^{18102271683600} is an apocalyptic number.

18102271683600 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 18102271683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37355204879496).

18102271683600 is an abundant number, since it is smaller than the sum of its proper divisors (56608138075392).

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

18102271683600 is a wasteful number, since it uses less digits than its factorization.

18102271683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18102271683600 in words is "eighteen trillion, one hundred two billion, two hundred seventy-one million, six hundred eighty-three thousand, six hundred".