18985101220800 has 1008 divisors, whose sum is σ = 79880586065280. Its totient is φ = 4215923712000.

The previous prime is 18985101220793. The next prime is 18985101220963. The reversal of 18985101220800 is 802210158981.

18985101220800 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 510 + 122 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 269720011 + ... + 269790389.

It is an arithmetic number, because the mean of its divisors is an integer number (79246613160).

Almost surely, 2^{18985101220800} is an apocalyptic number.

18985101220800 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 18985101220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940293032640).

18985101220800 is an abundant number, since it is smaller than the sum of its proper divisors (60895484844480).

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

18985101220800 is a wasteful number, since it uses less digits than its factorization.

18985101220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70562 (or 70544 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 18985101220800 in words is "eighteen trillion, nine hundred eighty-five billion, one hundred one million, two hundred twenty thousand, eight hundred".