169807891968 has 1200 divisors, whose sum is σ = 636135690960. Its totient is φ = 44670320640.

The previous prime is 169807891919. The next prime is 169807891997. The reversal of 169807891968 is 869198708961.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 169807891896 and 169807891905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1239473596 + ... + 1239473732.

Almost surely, 2^169807891968 is an apocalyptic number.

169807891968 is a gapful number since it is divisible by the number (18) 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 169807891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318067845480).

169807891968 is an abundant number, since it is smaller than the sum of its proper divisors (466327798992).

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

169807891968 is a wasteful number, since it uses less digits than its factorization.

169807891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 169807891968 in words is "one hundred sixty-nine billion, eight hundred seven million, eight hundred ninety-one thousand, nine hundred sixty-eight".