18882427200000 has 1920 divisors, whose sum is σ = 78193115320320. Its totient is φ = 3942604800000.

The previous prime is 18882427199981. The next prime is 18882427200031. The reversal of 18882427200000 is 272428881.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60715199845 + ... + 60715200155.

It is an arithmetic number, because the mean of its divisors is an integer number (40725580896).

Almost surely, 2^{18882427200000} is an apocalyptic number.

18882427200000 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 18882427200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39096557660160).

18882427200000 is an abundant number, since it is smaller than the sum of its proper divisors (59310688120320).

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

18882427200000 is an equidigital number, since it uses as much as digits as its factorization.

18882427200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

Adding to 18882427200000 its reverse (272428881), we get a palindrome (18882699628881).

The spelling of 18882427200000 in words is "eighteen trillion, eight hundred eighty-two billion, four hundred twenty-seven million, two hundred thousand".