27001747906560 has 896 divisors, whose sum is σ = 110446060032000. Its totient is φ = 6130689638400.

The previous prime is 27001747906487. The next prime is 27001747906643. The reversal of 27001747906560 is 6560974710072.

27001747906560 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 1 + 7 + 4 + 79 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 = 27001747906497 and 27001747906506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168945891 + ... + 1168968989.

It is an arithmetic number, because the mean of its divisors is an integer number (123265692000).

Almost surely, 2^{27001747906560} is an apocalyptic number.

27001747906560 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 27001747906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55223030016000).

27001747906560 is an abundant number, since it is smaller than the sum of its proper divisors (83444312125440).

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

27001747906560 is a wasteful number, since it uses less digits than its factorization.

27001747906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23297 (or 23267 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 27001747906560 in words is "twenty-seven trillion, one billion, seven hundred forty-seven million, nine hundred six thousand, five hundred sixty".