27106311960000 has 5040 divisors, whose sum is σ = 132043241262240. Its totient is φ = 5399654400000.

The previous prime is 27106311959999. The next prime is 27106311960011. The reversal of 27106311960000 is 6911360172.

27106311960000 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 6 + 31 + 19 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 719 ways as a sum of consecutive naturals, for example, 661129559980 + ... + 661129560020.

It is an arithmetic number, because the mean of its divisors is an integer number (26199055806).

Almost surely, 2^{27106311960000} is an apocalyptic number.

27106311960000 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 27106311960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66021620631120).

27106311960000 is an abundant number, since it is smaller than the sum of its proper divisors (104936929302240).

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

27106311960000 is a wasteful number, since it uses less digits than its factorization.

27106311960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 27106311960000 in words is "twenty-seven trillion, one hundred six billion, three hundred eleven million, nine hundred sixty thousand".