27474720000000 has 3072 divisors, whose sum is σ = 122542561290240. Its totient is φ = 5308416000000.

The previous prime is 27474719999921. The next prime is 27474720000019. The reversal of 27474720000000 is 2747472.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 742559999982 + ... + 742560000018.

It is an arithmetic number, because the mean of its divisors is an integer number (39890156670).

Almost surely, 2^{27474720000000} is an apocalyptic number.

27474720000000 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 27474720000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61271280645120).

27474720000000 is an abundant number, since it is smaller than the sum of its proper divisors (95067841290240).

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

27474720000000 is an frugal number, since it uses more digits than its factorization.

27474720000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

Adding to 27474720000000 its reverse (2747472), we get a palindrome (27474722747472).

27474720000000 divided by its reverse (2747472) gives a 7-th power (10000000 = 10⁷).

The spelling of 27474720000000 in words is "twenty-seven trillion, four hundred seventy-four billion, seven hundred twenty million", and thus it is an aban number.