27468288000 has 416 divisors, whose sum is σ = 101610337920. Its totient is φ = 7321190400.

The previous prime is 27468287981. The next prime is 27468288053. The reversal of 27468288000 is 88286472.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823007 + ... + 13824993.

It is an arithmetic number, because the mean of its divisors is an integer number (244255620).

Almost surely, 2^27468288000 is an apocalyptic number.

27468288000 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 27468288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50805168960).

27468288000 is an abundant number, since it is smaller than the sum of its proper divisors (74142049920).

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

27468288000 is an equidigital number, since it uses as much as digits as its factorization.

27468288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 27468288000 in words is "twenty-seven billion, four hundred sixty-eight million, two hundred eighty-eight thousand".