198789154560 has 1152 divisors, whose sum is σ = 798521794560. Its totient is φ = 46558347264.

The previous prime is 198789154549. The next prime is 198789154567. The reversal of 198789154560 is 65451987891.

198789154560 is a `hidden beast` number, since 1 + 9 + 8 + 7 + 89 + 1 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198789154567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 635108964 + ... + 635109276.

It is an arithmetic number, because the mean of its divisors is an integer number (693161280).

Almost surely, 2^198789154560 is an apocalyptic number.

198789154560 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 198789154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399260897280).

198789154560 is an abundant number, since it is smaller than the sum of its proper divisors (599732640000).

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

198789154560 is a wasteful number, since it uses less digits than its factorization.

198789154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 198789154560 in words is "one hundred ninety-eight billion, seven hundred eighty-nine million, one hundred fifty-four thousand, five hundred sixty".