27693106355776 has 63 divisors (see below), whose sum is σ = 55722791729073. Its totient is φ = 13655358789120.

The previous prime is 27693106355713. The next prime is 27693106355779. The reversal of 27693106355776 is 67755360139672.

It is a happy number.

The square root of 27693106355776 is 5262424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15719956225600 + 11973150130176 = 3964840^2 + 3460224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27693106355779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3073251111 + ... + 3073260121.

Almost surely, 2^{27693106355776} is an apocalyptic number.

27693106355776 is the 5262424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27693106355776

27693106355776 is an abundant number, since it is smaller than the sum of its proper divisors (28029685373297).

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

27693106355776 is an frugal number, since it uses more digits than its factorization.

27693106355776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18180 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 67.

The spelling of 27693106355776 in words is "twenty-seven trillion, six hundred ninety-three billion, one hundred six million, three hundred fifty-five thousand, seven hundred seventy-six".