196543310077440 has 2240 divisors, whose sum is σ = 735183441248256. Its totient is φ = 50349136674816.

The previous prime is 196543310077427. The next prime is 196543310077441. The reversal of 196543310077440 is 44770013345691.

196543310077440 is a `hidden beast` number, since 1 + 9 + 65 + 4 + 33 + 100 + 7 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196543310077441) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 1547585118657 + ... + 1547585118783.

Almost surely, 2^{196543310077440} is an apocalyptic number.

196543310077440 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 196543310077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367591720624128).

196543310077440 is an abundant number, since it is smaller than the sum of its proper divisors (538640131170816).

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

196543310077440 is an equidigital number, since it uses as much as digits as its factorization.

196543310077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 196543310077440 in words is "one hundred ninety-six trillion, five hundred forty-three billion, three hundred ten million, seventy-seven thousand, four hundred forty".