195942228480 has 960 divisors, whose sum is σ = 748020873600. Its totient is φ = 47209512960.

The previous prime is 195942228479. The next prime is 195942228481. The reversal of 195942228480 is 84822249591.

195942228480 is a `hidden beast` number, since 1 + 9 + 594 + 2 + 2 + 2 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (195942228479) and next prime (195942228481).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×195942228480² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195942228481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1409656251 + ... + 1409656389.

It is an arithmetic number, because the mean of its divisors is an integer number (779188410).

Almost surely, 2^195942228480 is an apocalyptic number.

195942228480 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 195942228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374010436800).

195942228480 is an abundant number, since it is smaller than the sum of its proper divisors (552078645120).

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

195942228480 is a wasteful number, since it uses less digits than its factorization.

195942228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 195942228480 in words is "one hundred ninety-five billion, nine hundred forty-two million, two hundred twenty-eight thousand, four hundred eighty".