1006551626166 has 56 divisors (see below), whose sum is σ = 2263925085240. Its totient is φ = 335484680256.

The previous prime is 1006551626147. The next prime is 1006551626219. The reversal of 1006551626166 is 6616261556001.

1006551626166 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 5 + 1 + 626 + 16 + 6 = 666.

It is a super-2 number, since 2×1006551626166² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18546366 + ... + 18600558.

It is an arithmetic number, because the mean of its divisors is an integer number (40427233665).

Almost surely, 2^{1006551626166} is an apocalyptic number.

1006551626166 is an abundant number, since it is smaller than the sum of its proper divisors (1257373459074).

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

1006551626166 is an equidigital number, since it uses as much as digits as its factorization.

1006551626166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66952 (or 66937 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1006551626166 in words is "one trillion, six billion, five hundred fifty-one million, six hundred twenty-six thousand, one hundred sixty-six".