196430572800 has 3240 divisors, whose sum is σ = 996409038240. Its totient is φ = 37623398400.

The previous prime is 196430572769. The next prime is 196430572817. The reversal of 196430572800 is 8275034691.

196430572800 is a `hidden beast` number, since 1 + 9 + 64 + 305 + 7 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 359 ways as a sum of consecutive naturals, for example, 5308934382 + ... + 5308934418.

It is a 1-persistent number, because it is pandigital, but 2⋅196430572800 = 392861145600 is not.

Almost surely, 2^196430572800 is an apocalyptic number.

196430572800 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 196430572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498204519120).

196430572800 is an abundant number, since it is smaller than the sum of its proper divisors (799978465440).

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

196430572800 is a wasteful number, since it uses less digits than its factorization.

196430572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 196430572800 in words is "one hundred ninety-six billion, four hundred thirty million, five hundred seventy-two thousand, eight hundred".