27610561361664 has 216 divisors, whose sum is σ = 83481300761040. Its totient is φ = 8764427943936.

The previous prime is 27610561361659. The next prime is 27610561361671. The reversal of 27610561361664 is 46616316501672.

27610561361664 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 0 + 5 + 6 + 13 + 616 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27610561361664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2047207 + ... + 7707929.

Almost surely, 2^{27610561361664} is an apocalyptic number.

27610561361664 is a gapful number since it is divisible by the number (24) 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 27610561361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41740650380520).

27610561361664 is an abundant number, since it is smaller than the sum of its proper divisors (55870739399376).

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

27610561361664 is a wasteful number, since it uses less digits than its factorization.

27610561361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660847 (or 5660830 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 27610561361664 in words is "twenty-seven trillion, six hundred ten billion, five hundred sixty-one million, three hundred sixty-one thousand, six hundred sixty-four".