189508925442960 has 640 divisors, whose sum is σ = 683539782082560. Its totient is φ = 48168041416704.

The previous prime is 189508925442953. The next prime is 189508925442971. The reversal of 189508925442960 is 69244529805981.

189508925442960 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 0 + 8 + 92 + 5 + 442 + 96 + 0 = 666.

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

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, 17934027597 + ... + 17934038163.

It is an arithmetic number, because the mean of its divisors is an integer number (1068030909504).

Almost surely, 2^{189508925442960} is an apocalyptic number.

189508925442960 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 189508925442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341769891041280).

189508925442960 is an abundant number, since it is smaller than the sum of its proper divisors (494030856639600).

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

189508925442960 is a wasteful number, since it uses less digits than its factorization.

189508925442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 189508925442960 in words is "one hundred eighty-nine trillion, five hundred eight billion, nine hundred twenty-five million, four hundred forty-two thousand, nine hundred sixty".