195163046400 has 480 divisors, whose sum is σ = 780170244480. Its totient is φ = 41983672320.

The previous prime is 195163046387. The next prime is 195163046401. The reversal of 195163046400 is 4640361591.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×195163046400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195163046401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4548246 + ... + 4590954.

It is an arithmetic number, because the mean of its divisors is an integer number (1625354676).

Almost surely, 2^195163046400 is an apocalyptic number.

195163046400 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 195163046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390085122240).

195163046400 is an abundant number, since it is smaller than the sum of its proper divisors (585007198080).

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

195163046400 is a wasteful number, since it uses less digits than its factorization.

195163046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42764 (or 42743 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 195163046400 in words is "one hundred ninety-five billion, one hundred sixty-three million, forty-six thousand, four hundred".