196113196800 has 1296 divisors, whose sum is σ = 797108981760. Its totient is φ = 45705461760.

The previous prime is 196113196793. The next prime is 196113196897. The reversal of 196113196800 is 8691311691.

196113196800 is a `hidden beast` number, since 19 + 611 + 3 + 19 + 6 + 8 + 0 + 0 = 666.

196113196800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1544198337 + ... + 1544198463.

Almost surely, 2^196113196800 is an apocalyptic number.

196113196800 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 196113196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398554490880).

196113196800 is an abundant number, since it is smaller than the sum of its proper divisors (600995784960).

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

196113196800 is a wasteful number, since it uses less digits than its factorization.

196113196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 196113196800 in words is "one hundred ninety-six billion, one hundred thirteen million, one hundred ninety-six thousand, eight hundred".