198892753920 has 2112 divisors, whose sum is σ = 927033569280. Its totient is φ = 38305529856.

The previous prime is 198892753919. The next prime is 198892753931. The reversal of 198892753920 is 29357298891.

198892753920 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 92 + 7 + 539 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2396298199 + ... + 2396298281.

Almost surely, 2^198892753920 is an apocalyptic number.

198892753920 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 198892753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463516784640).

198892753920 is an abundant number, since it is smaller than the sum of its proper divisors (728140815360).

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

198892753920 is a wasteful number, since it uses less digits than its factorization.

198892753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 198892753920 in words is "one hundred ninety-eight billion, eight hundred ninety-two million, seven hundred fifty-three thousand, nine hundred twenty".