197127120960 has 2016 divisors, whose sum is σ = 917231567616. Its totient is φ = 39414988800.

The previous prime is 197127120959. The next prime is 197127120979. The reversal of 197127120960 is 69021721791.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2700371484 + ... + 2700371556.

It is an arithmetic number, because the mean of its divisors is an integer number (454975976).

Almost surely, 2^197127120960 is an apocalyptic number.

197127120960 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 197127120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458615783808).

197127120960 is an abundant number, since it is smaller than the sum of its proper divisors (720104446656).

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

197127120960 is a wasteful number, since it uses less digits than its factorization.

197127120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 197127120960 in words is "one hundred ninety-seven billion, one hundred twenty-seven million, one hundred twenty thousand, nine hundred sixty".