197080250121216 has 1056 divisors, whose sum is σ = 734058392256000. Its totient is φ = 51128928829440.

The previous prime is 197080250121197. The next prime is 197080250121217. The reversal of 197080250121216 is 612121052080791.

197080250121216 is a `hidden beast` number, since 1 + 97 + 0 + 80 + 250 + 1 + 21 + 216 = 666.

197080250121216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197080250121217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21755183695 + ... + 21755192753.

Almost surely, 2^{197080250121216} is an apocalyptic number.

197080250121216 is a gapful number since it is divisible by the number (16) 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 197080250121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367029196128000).

197080250121216 is an abundant number, since it is smaller than the sum of its proper divisors (536978142134784).

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

197080250121216 is a wasteful number, since it uses less digits than its factorization.

197080250121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 197080250121216 in words is "one hundred ninety-seven trillion, eighty billion, two hundred fifty million, one hundred twenty-one thousand, two hundred sixteen".