27108069120 has 1008 divisors, whose sum is σ = 112598236800. Its totient is φ = 6180986880.

The previous prime is 27108069061. The next prime is 27108069137. The reversal of 27108069120 is 2196080172.

It is a super-2 number, since 2×27108069120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195022011 + ... + 195022149.

It is an arithmetic number, because the mean of its divisors is an integer number (111704600).

Almost surely, 2^27108069120 is an apocalyptic number.

27108069120 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 27108069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56299118400).

27108069120 is an abundant number, since it is smaller than the sum of its proper divisors (85490167680).

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

27108069120 is a wasteful number, since it uses less digits than its factorization.

27108069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 27108069120 in words is "twenty-seven billion, one hundred eight million, sixty-nine thousand, one hundred twenty".