27070154012160 has 960 divisors, whose sum is σ = 112609582525440. Its totient is φ = 5875752960000.

The previous prime is 27070154012081. The next prime is 27070154012203. The reversal of 27070154012160 is 6121045107072.

27070154012160 is a `hidden beast` number, since 27 + 0 + 7 + 0 + 15 + 401 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 515585910 + ... + 515638410.

It is an arithmetic number, because the mean of its divisors is an integer number (117301648464).

Almost surely, 2^{27070154012160} is an apocalyptic number.

27070154012160 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 27070154012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56304791262720).

27070154012160 is an abundant number, since it is smaller than the sum of its proper divisors (85539428513280).

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

27070154012160 is a wasteful number, since it uses less digits than its factorization.

27070154012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52699 (or 52680 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 27070154012160 in words is "twenty-seven trillion, seventy billion, one hundred fifty-four million, twelve thousand, one hundred sixty".