198915056640 has 616 divisors, whose sum is σ = 722491843320. Its totient is φ = 52521467904.

The previous prime is 198915056621. The next prime is 198915056653. The reversal of 198915056640 is 46650519891.

198915056640 is a `hidden beast` number, since 1 + 9 + 8 + 91 + 505 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10044850176 + 188870206464 = 100224^2 + 434592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 511349566 + ... + 511349954.

Almost surely, 2^198915056640 is an apocalyptic number.

198915056640 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 198915056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361245921660).

198915056640 is an abundant number, since it is smaller than the sum of its proper divisors (523576786680).

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

198915056640 is an equidigital number, since it uses as much as digits as its factorization.

198915056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 198915056640 in words is "one hundred ninety-eight billion, nine hundred fifteen million, fifty-six thousand, six hundred forty".