198965854080 has 768 divisors, whose sum is σ = 816629299200. Its totient is φ = 43675140096.

The previous prime is 198965854057. The next prime is 198965854081. The reversal of 198965854080 is 80458569891.

198965854080 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 6 + 5 + 8 + 540 + 80 = 666.

It is a super-2 number, since 2×198965854080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 198965853999 and 198965854017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198965854081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307520317 + ... + 307520963.

It is an arithmetic number, because the mean of its divisors is an integer number (1063319400).

Almost surely, 2^198965854080 is an apocalyptic number.

198965854080 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 198965854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408314649600).

198965854080 is an abundant number, since it is smaller than the sum of its proper divisors (617663445120).

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

198965854080 is a wasteful number, since it uses less digits than its factorization.

198965854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 198965854080 in words is "one hundred ninety-eight billion, nine hundred sixty-five million, eight hundred fifty-four thousand, eighty".