980545769239712 has 576 divisors, whose sum is σ = 2296380912537600. Its totient is φ = 409156607508480.

The previous prime is 980545769239697. The next prime is 980545769239763. The reversal of 980545769239712 is 217932967545089.

980545769239712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×980545769239712² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591759666788 + ... + 591759668444.

It is an arithmetic number, because the mean of its divisors is an integer number (3986772417600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅980545769239712 = 1961091538479424, but 3⋅980545769239712 = 2941637307719136 is not.

Almost surely, 2^{980545769239712} 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 980545769239712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148190456268800).

980545769239712 is an abundant number, since it is smaller than the sum of its proper divisors (1315835143297888).

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

980545769239712 is a wasteful number, since it uses less digits than its factorization.

980545769239712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 77.

The spelling of 980545769239712 in words is "nine hundred eighty trillion, five hundred forty-five billion, seven hundred sixty-nine million, two hundred thirty-nine thousand, seven hundred twelve".