1661006177010 has 48 divisors (see below), whose sum is σ = 4506381981504. Its totient is φ = 423676937376.

The previous prime is 1661006177009. The next prime is 1661006177011. The reversal of 1661006177010 is 107716001661.

1661006177010 is a `hidden beast` number, since 16 + 6 + 10 + 0 + 617 + 7 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (1661006177009) and next prime (1661006177011).

It is not an unprimeable number, because it can be changed into a prime (1661006177011) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 401207152 + ... + 401211291.

It is an arithmetic number, because the mean of its divisors is an integer number (93882957948).

Almost surely, 2^{1661006177010} is an apocalyptic number.

1661006177010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1661006177010 is an abundant number, since it is smaller than the sum of its proper divisors (2845375804494).

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

1661006177010 is a wasteful number, since it uses less digits than its factorization.

1661006177010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802418479 (or 802418476 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1661006177010 in words is "one trillion, six hundred sixty-one billion, six million, one hundred seventy-seven thousand, ten".