198406739520 has 1008 divisors, whose sum is σ = 790437937536. Its totient is φ = 47421158400.

The previous prime is 198406739519. The next prime is 198406739527. The reversal of 198406739520 is 25937604891.

198406739520 is a `hidden beast` number, since 1 + 9 + 8 + 40 + 6 + 73 + 9 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (198406739527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2794461085 + ... + 2794461155.

It is a 1-persistent number, because it is pandigital, but 2⋅198406739520 = 396813479040 is not.

Almost surely, 2^198406739520 is an apocalyptic number.

198406739520 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 198406739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395218968768).

198406739520 is an abundant number, since it is smaller than the sum of its proper divisors (592031198016).

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

198406739520 is an frugal number, since it uses more digits than its factorization.

198406739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 198406739520 in words is "one hundred ninety-eight billion, four hundred six million, seven hundred thirty-nine thousand, five hundred twenty".