169381705920 has 1344 divisors, whose sum is σ = 706476266496. Its totient is φ = 33525596160.

The previous prime is 169381705819. The next prime is 169381705993. The reversal of 169381705920 is 29507183961.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 3939109419 + ... + 3939109461.

It is an arithmetic number, because the mean of its divisors is an integer number (525651984).

Almost surely, 2^169381705920 is an apocalyptic number.

169381705920 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 169381705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353238133248).

169381705920 is an abundant number, since it is smaller than the sum of its proper divisors (537094560576).

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

169381705920 is a wasteful number, since it uses less digits than its factorization.

169381705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 169381705920 in words is "one hundred sixty-nine billion, three hundred eighty-one million, seven hundred five thousand, nine hundred twenty".