1965808648000 has 56 divisors (see below), whose sum is σ = 4868325136584. Its totient is φ = 786323456000.

The previous prime is 1965808647917. The next prime is 1965808648151. The reversal of 1965808648000 is 8468085691.

It can be written as a sum of positive squares in 4 ways, for example, as 46386821376 + 1919421826624 = 215376^2 + 1385432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122855041 + ... + 122871040.

It is an arithmetic number, because the mean of its divisors is an integer number (86934377439).

Almost surely, 2^{1965808648000} is an apocalyptic number.

1965808648000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1965808648000 is an abundant number, since it is smaller than the sum of its proper divisors (2902516488584).

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

1965808648000 is an equidigital number, since it uses as much as digits as its factorization.

1965808648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245726108 (or 245726088 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 1965808648000 in words is "one trillion, nine hundred sixty-five billion, eight hundred eight million, six hundred forty-eight thousand".