66566610201 has 192 divisors, whose sum is σ = 122615700480. Its totient is φ = 31701196800.

The previous prime is 66566610193. The next prime is 66566610223. The reversal of 66566610201 is 10201666566.

It is not a de Polignac number, because 66566610201 - 2³ = 66566610193 is a prime.

It is a super-2 number, since 2×66566610201² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66566610201.

It is not an unprimeable number, because it can be changed into a prime (66566615201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94959151 + ... + 94959851.

It is an arithmetic number, because the mean of its divisors is an integer number (638623440).

Almost surely, 2^66566610201 is an apocalyptic number.

It is an amenable number.

66566610201 is a deficient number, since it is larger than the sum of its proper divisors (56049090279).

66566610201 is a wasteful number, since it uses less digits than its factorization.

66566610201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 66566610201 in words is "sixty-six billion, five hundred sixty-six million, six hundred ten thousand, two hundred one".