166028802016 has 192 divisors, whose sum is σ = 431867842560. Its totient is φ = 60931584000.

The previous prime is 166028802011. The next prime is 166028802047. The reversal of 166028802016 is 610208820661.

It is a self number, because there is not a number n which added to its sum of digits gives 166028802016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166028802011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901361 + ... + 2958031.

It is an arithmetic number, because the mean of its divisors is an integer number (2249311680).

Almost surely, 2^166028802016 is an apocalyptic number.

166028802016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166028802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215933921280).

166028802016 is an abundant number, since it is smaller than the sum of its proper divisors (265839040544).

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

166028802016 is a wasteful number, since it uses less digits than its factorization.

166028802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56769 (or 56761 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 166028802016 in words is "one hundred sixty-six billion, twenty-eight million, eight hundred two thousand, sixteen".