27046656000000 has 3360 divisors, whose sum is σ = 126151335242240. Its totient is φ = 5573836800000.

The previous prime is 27046655999963. The next prime is 27046656000097. The reversal of 27046656000000 is 65664072.

27046656000000 is a `hidden beast` number, since 2 + 7 + 0 + 46 + 6 + 5 + 600 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 628991999979 + ... + 628992000021.

Almost surely, 2^{27046656000000} is an apocalyptic number.

27046656000000 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 27046656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63075667621120).

27046656000000 is an abundant number, since it is smaller than the sum of its proper divisors (99104679242240).

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

27046656000000 is an frugal number, since it uses more digits than its factorization.

27046656000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 27046656000000 in words is "twenty-seven trillion, forty-six billion, six hundred fifty-six million", and thus it is an aban number.