195628204800 has 648 divisors, whose sum is σ = 801695521536. Its totient is φ = 44582952960.

The previous prime is 195628204799. The next prime is 195628204801. The reversal of 195628204800 is 8402826591.

195628204800 is a `hidden beast` number, since 1 + 9 + 562 + 8 + 2 + 0 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (195628204799) and next prime (195628204801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (195628204801) 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, 220549957 + ... + 220550843.

Almost surely, 2^195628204800 is an apocalyptic number.

195628204800 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 195628204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400847760768).

195628204800 is an abundant number, since it is smaller than the sum of its proper divisors (606067316736).

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

195628204800 is a wasteful number, since it uses less digits than its factorization.

195628204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 195628204800 in words is "one hundred ninety-five billion, six hundred twenty-eight million, two hundred four thousand, eight hundred".