1827360000 has 540 divisors, whose sum is σ = 6972917952. Its totient is φ = 476928000.

The previous prime is 1827359999. The next prime is 1827360019. The reversal of 1827360000 is 637281.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879977 + ... + 38880023.

Almost surely, 2^1827360000 is an apocalyptic number.

1827360000 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 1827360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486458976).

1827360000 is an abundant number, since it is smaller than the sum of its proper divisors (5145557952).

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

1827360000 is an frugal number, since it uses more digits than its factorization.

1827360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1827360000 is about 42747.6315133365. The cubic root of 1827360000 is about 1222.5727308154.

Adding to 1827360000 its reverse (637281), we get a palindrome (1827997281).

The spelling of 1827360000 in words is "one billion, eight hundred twenty-seven million, three hundred sixty thousand".