27753815339721 has 9 divisors (see below), whose sum is σ = 40088867208429. Its totient is φ = 18502533023436.

The previous prime is 27753815339713. The next prime is 27753815339771. The reversal of 27753815339721 is 12793351835772.

It is a happy number.

The square root of 27753815339721 is 5268189.

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

27753815339721 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 3 + 8 + 1 + 533 + 97 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27753815339721 - 2³ = 27753815339713 is a prime.

It is a super-2 number, since 2×27753815339721² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27753815339771) 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, 14926536 + ... + 16682598.

Almost surely, 2^{27753815339721} is an apocalyptic number.

27753815339721 is the 5268189-th square number.

27753815339721 is the 2634095-th centered octagonal number.

It is an amenable number.

27753815339721 is a deficient number, since it is larger than the sum of its proper divisors (12335051868708).

27753815339721 is an frugal number, since it uses more digits than its factorization.

27753815339721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512132 (or 1756066 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 27753815339721 in words is "twenty-seven trillion, seven hundred fifty-three billion, eight hundred fifteen million, three hundred thirty-nine thousand, seven hundred twenty-one".