27123054275200 has 384 divisors, whose sum is σ = 73320025968000. Its totient is φ = 9853528227840.

The previous prime is 27123054275189. The next prime is 27123054275381. The reversal of 27123054275200 is 257245032172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2561431506 + ... + 2561442094.

It is an arithmetic number, because the mean of its divisors is an integer number (190937567625).

Almost surely, 2^{27123054275200} is an apocalyptic number.

27123054275200 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 27123054275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36660012984000).

27123054275200 is an abundant number, since it is smaller than the sum of its proper divisors (46196971692800).

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

27123054275200 is a wasteful number, since it uses less digits than its factorization.

27123054275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11612 (or 11595 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 27123054275200 in words is "twenty-seven trillion, one hundred twenty-three billion, fifty-four million, two hundred seventy-five thousand, two hundred".