27093162216960 has 1920 divisors, whose sum is σ = 114551112259584. Its totient is φ = 6008277565440.

The previous prime is 27093162216941. The next prime is 27093162216997. The reversal of 27093162216960 is 6961226139072.

27093162216960 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 3 + 1 + 622 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×27093162216960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27093162216897 and 27093162216906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46955220192 + ... + 46955220768.

Almost surely, 2^{27093162216960} is an apocalyptic number.

27093162216960 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 27093162216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57275556129792).

27093162216960 is an abundant number, since it is smaller than the sum of its proper divisors (87457950042624).

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

27093162216960 is an equidigital number, since it uses as much as digits as its factorization.

27093162216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 27093162216960 in words is "twenty-seven trillion, ninety-three billion, one hundred sixty-two million, two hundred sixteen thousand, nine hundred sixty".