27456213120 has 384 divisors, whose sum is σ = 107799932160. Its totient is φ = 5906202624.

The previous prime is 27456213091. The next prime is 27456213139. The reversal of 27456213120 is 2131265472.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1590777 + ... + 1607943.

It is an arithmetic number, because the mean of its divisors is an integer number (280728990).

Almost surely, 2^27456213120 is an apocalyptic number.

27456213120 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 27456213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53899966080).

27456213120 is an abundant number, since it is smaller than the sum of its proper divisors (80343719040).

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

27456213120 is a wasteful number, since it uses less digits than its factorization.

27456213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 27456213120 its reverse (2131265472), we get a palindrome (29587478592).

The spelling of 27456213120 in words is "twenty-seven billion, four hundred fifty-six million, two hundred thirteen thousand, one hundred twenty".