66980052405 has 36 divisors (see below), whose sum is σ = 135053661132. Its totient is φ = 30619451520.

The previous prime is 66980052401. The next prime is 66980052509. The reversal of 66980052405 is 50425008966.

It can be written as a sum of positive squares in 2 ways, for example, as 39016520676 + 27963531729 = 197526^2 + 167223^2 .

It is not a de Polignac number, because 66980052405 - 2² = 66980052401 is a prime.

It is a super-3 number, since 3×66980052405³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66980052401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15186016 + ... + 15190425.

It is an arithmetic number, because the mean of its divisors is an integer number (3751490587).

Almost surely, 2^66980052405 is an apocalyptic number.

It is an amenable number.

66980052405 is an abundant number, since it is smaller than the sum of its proper divisors (68073608727).

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

66980052405 is a wasteful number, since it uses less digits than its factorization.

66980052405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30376466 (or 30376456 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 66980052405 in words is "sixty-six billion, nine hundred eighty million, fifty-two thousand, four hundred five".