196442588160 has 1056 divisors, whose sum is σ = 849780771840. Its totient is φ = 40853569536.

The previous prime is 196442588149. The next prime is 196442588161. The reversal of 196442588160 is 61885244691.

196442588160 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 42 + 588 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 196442588097 and 196442588106.

It is not an unprimeable number, because it can be changed into a prime (196442588161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331268824 + ... + 331269416.

It is an arithmetic number, because the mean of its divisors is an integer number (804716640).

Almost surely, 2^196442588160 is an apocalyptic number.

196442588160 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 196442588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424890385920).

196442588160 is an abundant number, since it is smaller than the sum of its proper divisors (653338183680).

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

196442588160 is a wasteful number, since it uses less digits than its factorization.

196442588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 196442588160 in words is "one hundred ninety-six billion, four hundred forty-two million, five hundred eighty-eight thousand, one hundred sixty".