196380001872 has 240 divisors, whose sum is σ = 594363744000. Its totient is φ = 60301172736.

The previous prime is 196380001843. The next prime is 196380001879. The reversal of 196380001872 is 278100083691.

196380001872 is a `hidden beast` number, since 1 + 9 + 638 + 0 + 0 + 0 + 1 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196380001879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34516404 + ... + 34522092.

It is an arithmetic number, because the mean of its divisors is an integer number (2476515600).

Almost surely, 2^196380001872 is an apocalyptic number.

196380001872 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 196380001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297181872000).

196380001872 is an abundant number, since it is smaller than the sum of its proper divisors (397983742128).

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

196380001872 is a wasteful number, since it uses less digits than its factorization.

196380001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 196380001872 in words is "one hundred ninety-six billion, three hundred eighty million, one thousand, eight hundred seventy-two".