198257265360 has 2240 divisors, whose sum is σ = 948507148800. Its totient is φ = 38041436160.

The previous prime is 198257265341. The next prime is 198257265389. The reversal of 198257265360 is 63562752891.

198257265360 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 572 + 6 + 5 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 198257265297 and 198257265306.

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 447 ways as a sum of consecutive naturals, for example, 3740703094 + ... + 3740703146.

Almost surely, 2^198257265360 is an apocalyptic number.

198257265360 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 198257265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474253574400).

198257265360 is an abundant number, since it is smaller than the sum of its proper divisors (750249883440).

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

198257265360 is a wasteful number, since it uses less digits than its factorization.

198257265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 198257265360 in words is "one hundred ninety-eight billion, two hundred fifty-seven million, two hundred sixty-five thousand, three hundred sixty".