27008231362560 has 1664 divisors, whose sum is σ = 115708398796800. Its totient is φ = 5845840035840.

The previous prime is 27008231362559. The next prime is 27008231362579. The reversal of 27008231362560 is 6526313280072.

27008231362560 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 8 + 2 + 3 + 13 + 625 + 6 + 0 = 666.

It is a super-2 number, since 2×27008231362560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5639636646 + ... + 5639641434.

Almost surely, 2^{27008231362560} is an apocalyptic number.

27008231362560 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 27008231362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854199398400).

27008231362560 is an abundant number, since it is smaller than the sum of its proper divisors (88700167434240).

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

27008231362560 is a wasteful number, since it uses less digits than its factorization.

27008231362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27008231362560 in words is "twenty-seven trillion, eight billion, two hundred thirty-one million, three hundred sixty-two thousand, five hundred sixty".