1580811085344 has 96 divisors (see below), whose sum is σ = 4209879381120. Its totient is φ = 519292569600.

The previous prime is 1580811085333. The next prime is 1580811085351. The reversal of 1580811085344 is 4435801180851.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1580811085293 and 1580811085302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16234884 + ... + 16331964.

It is an arithmetic number, because the mean of its divisors is an integer number (43852910220).

Almost surely, 2^{1580811085344} 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 1580811085344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104939690560).

1580811085344 is an abundant number, since it is smaller than the sum of its proper divisors (2629068295776).

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

1580811085344 is a wasteful number, since it uses less digits than its factorization.

1580811085344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99554 (or 99546 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 1580811085344 in words is "one trillion, five hundred eighty billion, eight hundred eleven million, eighty-five thousand, three hundred forty-four".