27150368126112 has 1344 divisors, whose sum is σ = 101777876766720. Its totient is φ = 6921660211200.

The previous prime is 27150368126033. The next prime is 27150368126129. The reversal of 27150368126112 is 21162186305172.

27150368126112 is a `hidden beast` number, since 2 + 7 + 1 + 50 + 368 + 126 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45784768888 + ... + 45784769480.

It is an arithmetic number, because the mean of its divisors is an integer number (75727586880).

Almost surely, 2^{27150368126112} is an apocalyptic number.

27150368126112 is a gapful number since it is divisible by the number (22) 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 27150368126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50888938383360).

27150368126112 is an abundant number, since it is smaller than the sum of its proper divisors (74627508640608).

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

27150368126112 is a wasteful number, since it uses less digits than its factorization.

27150368126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 27150368126112 in words is "twenty-seven trillion, one hundred fifty billion, three hundred sixty-eight million, one hundred twenty-six thousand, one hundred twelve".