1960128000 has 480 divisors, whose sum is σ = 7319344032. Its totient is φ = 503808000.

The previous prime is 1960127993. The next prime is 1960128017. The reversal of 1960128000 is 8210691.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23615959 + ... + 23616041.

Almost surely, 2^1960128000 is an apocalyptic number.

1960128000 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 1960128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659672016).

1960128000 is an abundant number, since it is smaller than the sum of its proper divisors (5359216032).

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

1960128000 is an equidigital number, since it uses as much as digits as its factorization.

1960128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1960128000 is about 44273.3328314009. The cubic root of 1960128000 is about 1251.4921913166.

Adding to 1960128000 its reverse (8210691), we get a palindrome (1968338691).

The spelling of 1960128000 in words is "one billion, nine hundred sixty million, one hundred twenty-eight thousand".