197178896880000 has 4320 divisors, whose sum is σ = 890518490021160. Its totient is φ = 41727393792000.

The previous prime is 197178896879903. The next prime is 197178896880013. The reversal of 197178896880000 is 88698871791.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 539 ways as a sum of consecutive naturals, for example, 846261359884 + ... + 846261360116.

Almost surely, 2^{197178896880000} is an apocalyptic number.

197178896880000 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 197178896880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445259245010580).

197178896880000 is an abundant number, since it is smaller than the sum of its proper divisors (693339593141160).

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

197178896880000 is a wasteful number, since it uses less digits than its factorization.

197178896880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 72.

The spelling of 197178896880000 in words is "one hundred ninety-seven trillion, one hundred seventy-eight billion, eight hundred ninety-six million, eight hundred eighty thousand".