27761105405760 has 448 divisors, whose sum is σ = 89967084480000. Its totient is φ = 7251628032000.

The previous prime is 27761105405749. The next prime is 27761105405833. The reversal of 27761105405760 is 6750450116772.

It is a happy number.

It is a congruent number.

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, 3492398266 + ... + 3492406214.

It is an arithmetic number, because the mean of its divisors is an integer number (200819385000).

Almost surely, 2^{27761105405760} is an apocalyptic number.

27761105405760 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 27761105405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44983542240000).

27761105405760 is an abundant number, since it is smaller than the sum of its proper divisors (62205979074240).

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

27761105405760 is a wasteful number, since it uses less digits than its factorization.

27761105405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 27761105405760 in words is "twenty-seven trillion, seven hundred sixty-one billion, one hundred five million, four hundred five thousand, seven hundred sixty".