1959412729728 has 128 divisors (see below), whose sum is σ = 5226739488000. Its totient is φ = 650376179712.

The previous prime is 1959412729721. The next prime is 1959412729733. The reversal of 1959412729728 is 8279272149591.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959412729721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94151388 + ... + 94172196.

It is an arithmetic number, because the mean of its divisors is an integer number (40833902250).

Almost surely, 2^{1959412729728} 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 1959412729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613369744000).

1959412729728 is an abundant number, since it is smaller than the sum of its proper divisors (3267326758272).

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

1959412729728 is a wasteful number, since it uses less digits than its factorization.

1959412729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21852 (or 21840 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 66.

The spelling of 1959412729728 in words is "one trillion, nine hundred fifty-nine billion, four hundred twelve million, seven hundred twenty-nine thousand, seven hundred twenty-eight".