194975505120 has 384 divisors, whose sum is σ = 733891415040. Its totient is φ = 42951802880.

The previous prime is 194975505089. The next prime is 194975505143. The reversal of 194975505120 is 21505579491.

194975505120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 194975505120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2565589 + ... + 2640491.

It is an arithmetic number, because the mean of its divisors is an integer number (1911175560).

Almost surely, 2^194975505120 is an apocalyptic number.

194975505120 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 194975505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366945707520).

194975505120 is an abundant number, since it is smaller than the sum of its proper divisors (538915909920).

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

194975505120 is a wasteful number, since it uses less digits than its factorization.

194975505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74978 (or 74970 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 48.

The spelling of 194975505120 in words is "one hundred ninety-four billion, nine hundred seventy-five million, five hundred five thousand, one hundred twenty".