196858243573920 has 288 divisors, whose sum is σ = 675010704880512. Its totient is φ = 52243375343616.

The previous prime is 196858243573891. The next prime is 196858243573951. The reversal of 196858243573920 is 29375342858691.

196858243573920 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 5 + 8 + 2 + 43 + 573 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377323159 + ... + 377844521.

It is an arithmetic number, because the mean of its divisors is an integer number (2343787169724).

It is a 1-persistent number, because it is pandigital, but 2⋅196858243573920 = 393716487147840 is not.

Almost surely, 2^{196858243573920} is an apocalyptic number.

196858243573920 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 196858243573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337505352440256).

196858243573920 is an abundant number, since it is smaller than the sum of its proper divisors (478152461306592).

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

196858243573920 is a wasteful number, since it uses less digits than its factorization.

196858243573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522644 (or 522633 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 196858243573920 in words is "one hundred ninety-six trillion, eight hundred fifty-eight billion, two hundred forty-three million, five hundred seventy-three thousand, nine hundred twenty".