195055905600 has 756 divisors, whose sum is σ = 762947182764. Its totient is φ = 48910417920.

The previous prime is 195055905557. The next prime is 195055905601. The reversal of 195055905600 is 6509550591.

195055905600 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 5 + 590 + 56 + 0 + 0 = 666.

195055905600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 21447016704 + 173608888896 = 146448^2 + 416664^2 .

It is a super-2 number, since 2×195055905600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195055905601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 178458654 + ... + 178459746.

Almost surely, 2^195055905600 is an apocalyptic number.

195055905600 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 195055905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381473591382).

195055905600 is an abundant number, since it is smaller than the sum of its proper divisors (567891277164).

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

195055905600 is an equidigital number, since it uses as much as digits as its factorization.

195055905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 303750, while the sum is 45.

The spelling of 195055905600 in words is "one hundred ninety-five billion, fifty-five million, nine hundred five thousand, six hundred".