66200057 has 32 divisors (see below), whose sum is σ = 88418304. Its totient is φ = 47980800.

The previous prime is 66200051. The next prime is 66200059. The reversal of 66200057 is 75000266.

It is not a de Polignac number, because 66200057 - 2⁴ = 66200041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66199999 and 66200035.

It is not an unprimeable number, because it can be changed into a prime (66200051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134582 + ... + 135072.

It is an arithmetic number, because the mean of its divisors is an integer number (2763072).

Almost surely, 2^66200057 is an apocalyptic number.

It is an amenable number.

66200057 is a deficient number, since it is larger than the sum of its proper divisors (22218247).

66200057 is a wasteful number, since it uses less digits than its factorization.

66200057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 66200057 is about 8136.3417455267. The cubic root of 66200057 is about 404.5319125926.

The spelling of 66200057 in words is "sixty-six million, two hundred thousand, fifty-seven".