198107320320 has 1664 divisors, whose sum is σ = 901833031680. Its totient is φ = 40131624960.

The previous prime is 198107320297. The next prime is 198107320363. The reversal of 198107320320 is 23023701891.

198107320320 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 0 + 7 + 320 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1559900097 + ... + 1559900223.

Almost surely, 2^198107320320 is an apocalyptic number.

198107320320 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 198107320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450916515840).

198107320320 is an abundant number, since it is smaller than the sum of its proper divisors (703725711360).

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

198107320320 is a wasteful number, since it uses less digits than its factorization.

198107320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 198107320320 in words is "one hundred ninety-eight billion, one hundred seven million, three hundred twenty thousand, three hundred twenty".