196565516400 has 720 divisors, whose sum is σ = 733258068480. Its totient is φ = 44884224000.

The previous prime is 196565516383. The next prime is 196565516419. The reversal of 196565516400 is 4615565691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 196565516400.

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 143 ways as a sum of consecutive naturals, for example, 237111186 + ... + 237112014.

It is an arithmetic number, because the mean of its divisors is an integer number (1018413984).

Almost surely, 2^196565516400 is an apocalyptic number.

196565516400 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 196565516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366629034240).

196565516400 is an abundant number, since it is smaller than the sum of its proper divisors (536692552080).

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

196565516400 is a wasteful number, since it uses less digits than its factorization.

196565516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 196565516400 in words is "one hundred ninety-six billion, five hundred sixty-five million, five hundred sixteen thousand, four hundred".