195200905536 has 1344 divisors, whose sum is σ = 775899855360. Its totient is φ = 46926397440.

The previous prime is 195200905499. The next prime is 195200905583. The reversal of 195200905536 is 635509002591.

195200905536 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 0 + 0 + 90 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 195200905491 and 195200905500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1424824060 + ... + 1424824196.

It is an arithmetic number, because the mean of its divisors is an integer number (577306440).

Almost surely, 2^195200905536 is an apocalyptic number.

195200905536 is a gapful number since it is divisible by the number (16) 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 195200905536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387949927680).

195200905536 is an abundant number, since it is smaller than the sum of its proper divisors (580698949824).

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

195200905536 is a wasteful number, since it uses less digits than its factorization.

195200905536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 195200905536 in words is "one hundred ninety-five billion, two hundred million, nine hundred five thousand, five hundred thirty-six".