197289271872 has 672 divisors, whose sum is σ = 749673400320. Its totient is φ = 48054435840.

The previous prime is 197289271859. The next prime is 197289271919. The reversal of 197289271872 is 278172982791.

197289271872 is a `hidden beast` number, since 1 + 9 + 7 + 289 + 271 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86795728 + ... + 86798000.

Almost surely, 2^197289271872 is an apocalyptic number.

197289271872 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 197289271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374836700160).

197289271872 is an abundant number, since it is smaller than the sum of its proper divisors (552384128448).

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

197289271872 is a wasteful number, since it uses less digits than its factorization.

197289271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2418 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 63.

The spelling of 197289271872 in words is "one hundred ninety-seven billion, two hundred eighty-nine million, two hundred seventy-one thousand, eight hundred seventy-two".