196035840000 has 2880 divisors, whose sum is σ = 1005819534720. Its totient is φ = 35389440000.

The previous prime is 196035839969. The next prime is 196035840001. The reversal of 196035840000 is 48530691.

196035840000 is a `hidden beast` number, since 1 + 9 + 603 + 5 + 8 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (196035840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11531519992 + ... + 11531520008.

It is an arithmetic number, because the mean of its divisors is an integer number (349242894).

Almost surely, 2^196035840000 is an apocalyptic number.

196035840000 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 196035840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502909767360).

196035840000 is an abundant number, since it is smaller than the sum of its proper divisors (809783694720).

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

196035840000 is a wasteful number, since it uses less digits than its factorization.

196035840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 196035840000 in words is "one hundred ninety-six billion, thirty-five million, eight hundred forty thousand".