198875352960 has 384 divisors, whose sum is σ = 724003956000. Its totient is φ = 50164531200.

The previous prime is 198875352953. The next prime is 198875352989. The reversal of 198875352960 is 69253578891.

198875352960 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 7 + 535 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110424060 + ... + 110425860.

Almost surely, 2^198875352960 is an apocalyptic number.

198875352960 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 198875352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362001978000).

198875352960 is an abundant number, since it is smaller than the sum of its proper divisors (525128603040).

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

198875352960 is a wasteful number, since it uses less digits than its factorization.

198875352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 198875352960 in words is "one hundred ninety-eight billion, eight hundred seventy-five million, three hundred fifty-two thousand, nine hundred sixty".