66635255253666 has 16 divisors (see below), whose sum is σ = 145386011462688. Its totient is φ = 20192501592000.

The previous prime is 66635255253661. The next prime is 66635255253673.

66635255253666 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 1009625079601 = 66635255253666 / (6 + 6 + 6 + 3 + 5 + 2 + 5 + 5 + 2 + 5 + 3 + 6 + 6 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 66635255253597 and 66635255253606.

It is not an unprimeable number, because it can be changed into a prime (66635255253661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504812539735 + ... + 504812539866.

It is an arithmetic number, because the mean of its divisors is an integer number (9086625716418).

Almost surely, 2^{66635255253666} is an apocalyptic number.

66635255253666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66635255253666 is an abundant number, since it is smaller than the sum of its proper divisors (78750756209022).

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

66635255253666 is a wasteful number, since it uses less digits than its factorization.

66635255253666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009625079617.

The product of its digits is 1049760000, while the sum is 66.

The spelling of 66635255253666 in words is "sixty-six trillion, six hundred thirty-five billion, two hundred fifty-five million, two hundred fifty-three thousand, six hundred sixty-six".