66827937121 has 27 divisors (see below), whose sum is σ = 74730426897. Its totient is φ = 59716041000.

The previous prime is 66827937103. The next prime is 66827937151. The reversal of 66827937121 is 12173972866.

The square root of 66827937121 is 258511.

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

66827937121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66827937121 - 2¹⁹ = 66827412833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66827937151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201896926 + ... + 201897256.

Almost surely, 2^66827937121 is an apocalyptic number.

66827937121 is the 258511-st square number.

66827937121 is the 129256-th centered octagonal number.

It is an amenable number.

66827937121 is a deficient number, since it is larger than the sum of its proper divisors (7902489776).

66827937121 is an frugal number, since it uses more digits than its factorization.

66827937121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The spelling of 66827937121 in words is "sixty-six billion, eight hundred twenty-seven million, nine hundred thirty-seven thousand, one hundred twenty-one".