27330154742000 has 320 divisors, whose sum is σ = 73821578688000. Its totient is φ = 9700137216000.

The previous prime is 27330154741997. The next prime is 27330154742003. The reversal of 27330154742000 is 24745103372.

It is an interprime number because it is at equal distance from previous prime (27330154741997) and next prime (27330154742003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27330154742003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1418044364 + ... + 1418063636.

It is an arithmetic number, because the mean of its divisors is an integer number (230692433400).

Almost surely, 2^{27330154742000} is an apocalyptic number.

27330154742000 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 27330154742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36910789344000).

27330154742000 is an abundant number, since it is smaller than the sum of its proper divisors (46491423946000).

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

27330154742000 is a wasteful number, since it uses less digits than its factorization.

27330154742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20849 (or 20833 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

Adding to 27330154742000 its reverse (24745103372), we get a palindrome (27354899845372).

The spelling of 27330154742000 in words is "twenty-seven trillion, three hundred thirty billion, one hundred fifty-four million, seven hundred forty-two thousand".