196256307520 has 448 divisors, whose sum is σ = 597742548480. Its totient is φ = 59695792128.

The previous prime is 196256307493. The next prime is 196256307557. The reversal of 196256307520 is 25703652691.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 259254982 + ... + 259255738.

It is an arithmetic number, because the mean of its divisors is an integer number (1334246760).

Almost surely, 2^196256307520 is an apocalyptic number.

196256307520 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 196256307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298871274240).

196256307520 is an abundant number, since it is smaller than the sum of its proper divisors (401486240960).

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

196256307520 is a wasteful number, since it uses less digits than its factorization.

196256307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 196256307520 in words is "one hundred ninety-six billion, two hundred fifty-six million, three hundred seven thousand, five hundred twenty".