27143424000 has 1920 divisors, whose sum is σ = 133569596160. Its totient is φ = 5308416000.

The previous prime is 27143423999. The next prime is 27143424023. The reversal of 27143424000 is 42434172.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1596671992 + ... + 1596672008.

It is an arithmetic number, because the mean of its divisors is an integer number (69567498).

Almost surely, 2^27143424000 is an apocalyptic number.

27143424000 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 27143424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66784798080).

27143424000 is an abundant number, since it is smaller than the sum of its proper divisors (106426172160).

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

27143424000 is a wasteful number, since it uses less digits than its factorization.

27143424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 27143424000 its reverse (42434172), we get a palindrome (27185858172).

The spelling of 27143424000 in words is "twenty-seven billion, one hundred forty-three million, four hundred twenty-four thousand".