1960189624224 has 384 divisors, whose sum is σ = 6401588175360. Its totient is φ = 586824238080.

The previous prime is 1960189624219. The next prime is 1960189624247. The reversal of 1960189624224 is 4224269810691.

1960189624224 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 1 + 8 + 9 + 624 + 2 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33633189 + ... + 33691419.

It is an arithmetic number, because the mean of its divisors is an integer number (16670802540).

Almost surely, 2^{1960189624224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960189624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200794087680).

1960189624224 is an abundant number, since it is smaller than the sum of its proper divisors (4441398551136).

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

1960189624224 is an equidigital number, since it uses as much as digits as its factorization.

1960189624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58312 (or 58286 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1960189624224 in words is "one trillion, nine hundred sixty billion, one hundred eighty-nine million, six hundred twenty-four thousand, two hundred twenty-four".