195934152960 has 1440 divisors, whose sum is σ = 909123452160. Its totient is φ = 39128334336.

The previous prime is 195934152959. The next prime is 195934152961. The reversal of 195934152960 is 69251439591.

195934152960 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 341 + 5 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (195934152959) and next prime (195934152961).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 195934152897 and 195934152906.

It is not an unprimeable number, because it can be changed into a prime (195934152961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179262174 + ... + 179263266.

Almost surely, 2^195934152960 is an apocalyptic number.

195934152960 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 195934152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454561726080).

195934152960 is an abundant number, since it is smaller than the sum of its proper divisors (713189299200).

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

195934152960 is a wasteful number, since it uses less digits than its factorization.

195934152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 195934152960 in words is "one hundred ninety-five billion, nine hundred thirty-four million, one hundred fifty-two thousand, nine hundred sixty".