27130971120000 has 960 divisors, whose sum is σ = 102703602576960. Its totient is φ = 6290915840000.

The previous prime is 27130971119971. The next prime is 27130971120049. The reversal of 27130971120000 is 2117903172.

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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1396550287 + ... + 1396569713.

It is an arithmetic number, because the mean of its divisors is an integer number (106982919351).

Almost surely, 2^{27130971120000} is an apocalyptic number.

27130971120000 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 27130971120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51351801288480).

27130971120000 is an abundant number, since it is smaller than the sum of its proper divisors (75572631456960).

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

27130971120000 is a wasteful number, since it uses less digits than its factorization.

27130971120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19521 (or 19471 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 27130971120000 in words is "twenty-seven trillion, one hundred thirty billion, nine hundred seventy-one million, one hundred twenty thousand".