198002270880 has 576 divisors, whose sum is σ = 722311769088. Its totient is φ = 51189719040.

The previous prime is 198002270833. The next prime is 198002270903. The reversal of 198002270880 is 88072200891.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355479562 + ... + 355480118.

It is an arithmetic number, because the mean of its divisors is an integer number (1254013488).

Almost surely, 2^198002270880 is an apocalyptic number.

198002270880 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 198002270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361155884544).

198002270880 is an abundant number, since it is smaller than the sum of its proper divisors (524309498208).

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

198002270880 is a wasteful number, since it uses less digits than its factorization.

198002270880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 198002270880 in words is "one hundred ninety-eight billion, two million, two hundred seventy thousand, eight hundred eighty".