1965150720000 has 1430 divisors, whose sum is σ = 7932632777762. Its totient is φ = 483729408000.

The previous prime is 1965150719957. The next prime is 1965150720007. The reversal of 1965150720000 is 270515691.

It can be written as a sum of positive squares in 5 ways, for example, as 1151517855744 + 813632864256 = 1073088^2 + 902016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965150720007) by changing a digit.

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 109 ways as a sum of consecutive naturals, for example, 151165439994 + ... + 151165440006.

Almost surely, 2^{1965150720000} is an apocalyptic number.

1965150720000 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 1965150720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966316388881).

1965150720000 is an abundant number, since it is smaller than the sum of its proper divisors (5967482057762).

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

1965150720000 is an frugal number, since it uses more digits than its factorization.

1965150720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 1965150720000 in words is "one trillion, nine hundred sixty-five billion, one hundred fifty million, seven hundred twenty thousand".