27261707996160 has 2112 divisors, whose sum is σ = 113009806540800. Its totient is φ = 6003022233600.

The previous prime is 27261707996113. The next prime is 27261707996177. The reversal of 27261707996160 is 6169970716272.

27261707996160 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 1 + 7 + 0 + 7 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×27261707996160³ (a number of 41 digits) contains 333 as substring.

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, 37916144281 + ... + 37916144999.

Almost surely, 2^{27261707996160} is an apocalyptic number.

27261707996160 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 27261707996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504903270400).

27261707996160 is an abundant number, since it is smaller than the sum of its proper divisors (85748098544640).

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

27261707996160 is a wasteful number, since it uses less digits than its factorization.

27261707996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 27261707996160 in words is "twenty-seven trillion, two hundred sixty-one billion, seven hundred seven million, nine hundred ninety-six thousand, one hundred sixty".