197107008000 has 1280 divisors, whose sum is σ = 793599206400. Its totient is φ = 43352064000.

The previous prime is 197107007971. The next prime is 197107008013. The reversal of 197107008000 is 800701791.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2700095964 + ... + 2700096036.

It is an arithmetic number, because the mean of its divisors is an integer number (619999380).

Almost surely, 2^197107008000 is an apocalyptic number.

197107008000 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 197107008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396799603200).

197107008000 is an abundant number, since it is smaller than the sum of its proper divisors (596492198400).

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

197107008000 is an frugal number, since it uses more digits than its factorization.

197107008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

Adding to 197107008000 its reverse (800701791), we get a palindrome (197907709791).

The spelling of 197107008000 in words is "one hundred ninety-seven billion, one hundred seven million, eight thousand".