196645942080000 has 3200 divisors, whose sum is σ = 850583424176640. Its totient is φ = 44467273728000.

The previous prime is 196645942079957. The next prime is 196645942080019. The reversal of 196645942080000 is 80249546691.

196645942080000 is a `hidden beast` number, since 1 + 96 + 6 + 4 + 59 + 420 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 671146559854 + ... + 671146560146.

Almost surely, 2^{196645942080000} is an apocalyptic number.

196645942080000 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 196645942080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425291712088320).

196645942080000 is an abundant number, since it is smaller than the sum of its proper divisors (653937482096640).

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

196645942080000 is an frugal number, since it uses more digits than its factorization.

196645942080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 196645942080000 in words is "one hundred ninety-six trillion, six hundred forty-five billion, nine hundred forty-two million, eighty thousand".