169985407680 has 840 divisors, whose sum is σ = 673672806576. Its totient is φ = 40649748480.

The previous prime is 169985407667. The next prime is 169985407687. The reversal of 169985407680 is 86704589961.

169985407680 is a `hidden beast` number, since 1 + 6 + 9 + 9 + 8 + 540 + 7 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (169985407687) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 260314234 + ... + 260314886.

Almost surely, 2^169985407680 is an apocalyptic number.

169985407680 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 169985407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336836403288).

169985407680 is an abundant number, since it is smaller than the sum of its proper divisors (503687398896).

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

169985407680 is a wasteful number, since it uses less digits than its factorization.

169985407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 169985407680 in words is "one hundred sixty-nine billion, nine hundred eighty-five million, four hundred seven thousand, six hundred eighty".