196612905600 has 288 divisors, whose sum is σ = 732064975200. Its totient is φ = 50150369280.

The previous prime is 196612905569. The next prime is 196612905613. The reversal of 196612905600 is 6509216691.

It is a happy number.

196612905600 is a `hidden beast` number, since 1 + 9 + 6 + 61 + 29 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×196612905600² (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 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 35 ways as a sum of consecutive naturals, for example, 513991 + ... + 810809.

It is an arithmetic number, because the mean of its divisors is an integer number (2541892275).

Almost surely, 2^196612905600 is an apocalyptic number.

196612905600 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 196612905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366032487600).

196612905600 is an abundant number, since it is smaller than the sum of its proper divisors (535452069600).

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

196612905600 is a wasteful number, since it uses less digits than its factorization.

196612905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296872 (or 296852 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 196612905600 in words is "one hundred ninety-six billion, six hundred twelve million, nine hundred five thousand, six hundred".