1580349000016 has 40 divisors (see below), whose sum is σ = 3219436297800. Its totient is φ = 750420088320.

The previous prime is 1580349000007. The next prime is 1580349000029. The reversal of 1580349000016 is 6100009430851.

It can be written as a sum of positive squares in 4 ways, for example, as 63855268416 + 1516493731600 = 252696^2 + 1231460^2 .

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, 27889111 + ... + 27945718.

It is an arithmetic number, because the mean of its divisors is an integer number (80485907445).

Almost surely, 2^{1580349000016} is an apocalyptic number.

1580349000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1580349000016 is an abundant number, since it is smaller than the sum of its proper divisors (1639087297784).

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

1580349000016 is a wasteful number, since it uses less digits than its factorization.

1580349000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55834927 (or 55834921 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1580349000016 in words is "one trillion, five hundred eighty billion, three hundred forty-nine million, sixteen", and thus it is an aban number.