196319878272 has 288 divisors, whose sum is σ = 674932899420. Its totient is φ = 54574829568.

The previous prime is 196319878267. The next prime is 196319878277. The reversal of 196319878272 is 272878913691.

196319878272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196319878267) and next prime (196319878277).

It can be written as a sum of positive squares in 2 ways, for example, as 141237665856 + 55082212416 = 375816^2 + 234696^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196319878277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2041578 + ... + 2135574.

Almost surely, 2^196319878272 is an apocalyptic number.

196319878272 is a gapful number since it is divisible by the number (12) 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 196319878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337466449710).

196319878272 is an abundant number, since it is smaller than the sum of its proper divisors (478613021148).

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

196319878272 is a wasteful number, since it uses less digits than its factorization.

196319878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94068 (or 94046 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 196319878272 in words is "one hundred ninety-six billion, three hundred nineteen million, eight hundred seventy-eight thousand, two hundred seventy-two".