197516364960 has 96 divisors (see below), whose sum is σ = 622629165312. Its totient is φ = 52632714240.

The previous prime is 197516364959. The next prime is 197516364971. The reversal of 197516364960 is 69463615791.

197516364960 is digitally balanced in base 2, 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 197516364960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513897 + ... + 811863.

It is an arithmetic number, because the mean of its divisors is an integer number (6485720472).

Almost surely, 2^197516364960 is an apocalyptic number.

197516364960 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 197516364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311314582656).

197516364960 is an abundant number, since it is smaller than the sum of its proper divisors (425112800352).

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

197516364960 is a wasteful number, since it uses less digits than its factorization.

197516364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299366 (or 299358 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 197516364960 in words is "one hundred ninety-seven billion, five hundred sixteen million, three hundred sixty-four thousand, nine hundred sixty".