196105507200 has 576 divisors, whose sum is σ = 745827264000. Its totient is φ = 48949063680.

The previous prime is 196105507159. The next prime is 196105507219. The reversal of 196105507200 is 2705501691.

196105507200 is a `hidden beast` number, since 1 + 96 + 10 + 550 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31129651 + ... + 31135949.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839000).

Almost surely, 2^196105507200 is an apocalyptic number.

196105507200 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 196105507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372913632000).

196105507200 is an abundant number, since it is smaller than the sum of its proper divisors (549721756800).

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

196105507200 is a wasteful number, since it uses less digits than its factorization.

196105507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 196105507200 in words is "one hundred ninety-six billion, one hundred five million, five hundred seven thousand, two hundred".