197782341120 has 1920 divisors, whose sum is σ = 926580695040. Its totient is φ = 37795921920.

The previous prime is 197782341059. The next prime is 197782341131. The reversal of 197782341120 is 21143287791.

197782341120 is a `hidden beast` number, since 197 + 7 + 8 + 23 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1104929191 + ... + 1104929369.

It is an arithmetic number, because the mean of its divisors is an integer number (482594112).

Almost surely, 2^197782341120 is an apocalyptic number.

197782341120 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 197782341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463290347520).

197782341120 is an abundant number, since it is smaller than the sum of its proper divisors (728798353920).

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

197782341120 is a wasteful number, since it uses less digits than its factorization.

197782341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 197782341120 in words is "one hundred ninety-seven billion, seven hundred eighty-two million, three hundred forty-one thousand, one hundred twenty".