27601345650816 has 1152 divisors, whose sum is σ = 97204595304960. Its totient is φ = 7486220206080.

The previous prime is 27601345650797. The next prime is 27601345650817. The reversal of 27601345650816 is 61805654310672.

It is a happy number.

27601345650816 is a `hidden beast` number, since 2 + 7 + 60 + 1 + 3 + 4 + 565 + 0 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (27601345650817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46545270616 + ... + 46545271208.

It is an arithmetic number, because the mean of its divisors is an integer number (84378988980).

Almost surely, 2^{27601345650816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27601345650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48602297652480).

27601345650816 is an abundant number, since it is smaller than the sum of its proper divisors (69603249654144).

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

27601345650816 is a wasteful number, since it uses less digits than its factorization.

27601345650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27601345650816 in words is "twenty-seven trillion, six hundred one billion, three hundred forty-five million, six hundred fifty thousand, eight hundred sixteen".