166605742678400 has 96 divisors (see below), whose sum is σ = 425760257523600. Its totient is φ = 64344286791680.

The previous prime is 166605742678391. The next prime is 166605742678409. The reversal of 166605742678400 is 4876247506661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166605742678391) and next prime (166605742678409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166605742678409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897567452 + ... + 897753051.

Almost surely, 2^{166605742678400} is an apocalyptic number.

166605742678400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166605742678400 is an abundant number, since it is smaller than the sum of its proper divisors (259154514845200).

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

166605742678400 is a wasteful number, since it uses less digits than its factorization.

166605742678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795320556 (or 1795320539 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 166605742678400 in words is "one hundred sixty-six trillion, six hundred five billion, seven hundred forty-two million, six hundred seventy-eight thousand, four hundred".