189198827706240 has 512 divisors, whose sum is σ = 732496846464000. Its totient is φ = 45772178595840.

The previous prime is 189198827706223. The next prime is 189198827706241. The reversal of 189198827706240 is 42607728891981.

189198827706240 is a `hidden beast` number, since 189 + 1 + 9 + 88 + 277 + 0 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189198827706241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91547026 + ... + 93590894.

It is an arithmetic number, because the mean of its divisors is an integer number (1430657903250).

Almost surely, 2^{189198827706240} is an apocalyptic number.

189198827706240 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 189198827706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366248423232000).

189198827706240 is an abundant number, since it is smaller than the sum of its proper divisors (543298018757760).

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

189198827706240 is a wasteful number, since it uses less digits than its factorization.

189198827706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044395 (or 2044377 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 189198827706240 in words is "one hundred eighty-nine trillion, one hundred ninety-eight billion, eight hundred twenty-seven million, seven hundred six thousand, two hundred forty".