196054128400 has 225 divisors, whose sum is σ = 514195267193. Its totient is φ = 71836627200.

The previous prime is 196054128383. The next prime is 196054128433. The reversal of 196054128400 is 4821450691.

The square root of 196054128400 is 442780.

It is a perfect power (a square), and thus also a powerful number.

196054128400 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 7 ways, for example, as 192359433744 + 3694694656 = 438588^2 + 60784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1496596335 + ... + 1496596465.

Almost surely, 2^196054128400 is an apocalyptic number.

196054128400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196054128400 is the 442780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196054128400

196054128400 is an abundant number, since it is smaller than the sum of its proper divisors (318141138793).

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

196054128400 is an frugal number, since it uses more digits than its factorization.

196054128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 196054128400 in words is "one hundred ninety-six billion, fifty-four million, one hundred twenty-eight thousand, four hundred".