198228562560 has 1536 divisors, whose sum is σ = 901866700800. Its totient is φ = 39016857600.

The previous prime is 198228562559. The next prime is 198228562661. The reversal of 198228562560 is 65265822891.

198228562560 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 2 + 8 + 5 + 625 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 198228562497 and 198228562506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403723915 + ... + 403724405.

It is an arithmetic number, because the mean of its divisors is an integer number (587152800).

Almost surely, 2^198228562560 is an apocalyptic number.

198228562560 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 198228562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450933350400).

198228562560 is an abundant number, since it is smaller than the sum of its proper divisors (703638138240).

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

198228562560 is a wasteful number, since it uses less digits than its factorization.

198228562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 198228562560 in words is "one hundred ninety-eight billion, two hundred twenty-eight million, five hundred sixty-two thousand, five hundred sixty".