27121068000 has 960 divisors, whose sum is σ = 110280538368. Its totient is φ = 6486220800.

The previous prime is 27121067993. The next prime is 27121068001. The reversal of 27121068000 is 86012172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27121068001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197963932 + ... + 197964068.

Almost surely, 2^27121068000 is an apocalyptic number.

27121068000 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 27121068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55140269184).

27121068000 is an abundant number, since it is smaller than the sum of its proper divisors (83159470368).

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

27121068000 is a wasteful number, since it uses less digits than its factorization.

27121068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 27121068000 in words is "twenty-seven billion, one hundred twenty-one million, sixty-eight thousand".