195416061120 has 504 divisors, whose sum is σ = 790724656800. Its totient is φ = 44161818624.

The previous prime is 195416061073. The next prime is 195416061121. The reversal of 195416061120 is 21160614591.

195416061120 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 16 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195416061121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12551901 + ... + 12567459.

Almost surely, 2^195416061120 is an apocalyptic number.

195416061120 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 195416061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395362328400).

195416061120 is an abundant number, since it is smaller than the sum of its proper divisors (595308595680).

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

195416061120 is a wasteful number, since it uses less digits than its factorization.

195416061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15685 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 195416061120 in words is "one hundred ninety-five billion, four hundred sixteen million, sixty-one thousand, one hundred twenty".