196080032735104 has 256 divisors, whose sum is σ = 461403827015040. Its totient is φ = 81245638656000.

The previous prime is 196080032735063. The next prime is 196080032735107. The reversal of 196080032735104 is 401537230080691.

It is a super-3 number, since 3×196080032735104³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196080032735107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7806653554 + ... + 7806678670.

It is a 2-persistent number, because it is pandigital, and so is 2⋅196080032735104 = 392160065470208, but 3⋅196080032735104 = 588240098205312 is not.

Almost surely, 2^{196080032735104} is an apocalyptic number.

196080032735104 is a gapful number since it is divisible by the number (14) 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 196080032735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230701913507520).

196080032735104 is an abundant number, since it is smaller than the sum of its proper divisors (265323794279936).

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

196080032735104 is a wasteful number, since it uses less digits than its factorization.

196080032735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26657 (or 26645 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 196080032735104 in words is "one hundred ninety-six trillion, eighty billion, thirty-two million, seven hundred thirty-five thousand, one hundred four".