169828401600 has 1344 divisors, whose sum is σ = 747982126080. Its totient is φ = 36926668800.

The previous prime is 169828401383. The next prime is 169828401601. The reversal of 169828401600 is 6104828961.

169828401600 is a `hidden beast` number, since 16 + 9 + 8 + 28 + 4 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169828401601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228570829 + ... + 228571571.

It is an arithmetic number, because the mean of its divisors is an integer number (556534320).

Almost surely, 2^169828401600 is an apocalyptic number.

169828401600 is a gapful number since it is divisible by the number (10) 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 169828401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373991063040).

169828401600 is an abundant number, since it is smaller than the sum of its proper divisors (578153724480).

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

169828401600 is a wasteful number, since it uses less digits than its factorization.

169828401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 169828401600 in words is "one hundred sixty-nine billion, eight hundred twenty-eight million, four hundred one thousand, six hundred".