196293943046520 has 960 divisors, whose sum is σ = 768824458617600. Its totient is φ = 44806630809600.

The previous prime is 196293943046507. The next prime is 196293943046549. The reversal of 196293943046520 is 25640349392691.

196293943046520 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 9 + 39 + 4 + 30 + 46 + 520 = 666.

It is a super-2 number, since 2×196293943046520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 449451616 + ... + 449888144.

It is an arithmetic number, because the mean of its divisors is an integer number (800858811060).

Almost surely, 2^{196293943046520} is an apocalyptic number.

196293943046520 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 196293943046520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384412229308800).

196293943046520 is an abundant number, since it is smaller than the sum of its proper divisors (572530515571080).

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

196293943046520 is a wasteful number, since it uses less digits than its factorization.

196293943046520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436642 (or 436618 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 196293943046520 in words is "one hundred ninety-six trillion, two hundred ninety-three billion, nine hundred forty-three million, forty-six thousand, five hundred twenty".