198070272000 has 768 divisors, whose sum is σ = 744267888000. Its totient is φ = 52553318400.

The previous prime is 198070271951. The next prime is 198070272017. The reversal of 198070272000 is 272070891.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 995327901 + ... + 995328099.

Almost surely, 2^198070272000 is an apocalyptic number.

198070272000 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 198070272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372133944000).

198070272000 is an abundant number, since it is smaller than the sum of its proper divisors (546197616000).

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

198070272000 is an frugal number, since it uses more digits than its factorization.

198070272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 198070272000 in words is "one hundred ninety-eight billion, seventy million, two hundred seventy-two thousand".