1580898816 has 480 divisors, whose sum is σ = 5851232640. Its totient is φ = 411402240.

The previous prime is 1580898811. The next prime is 1580898817. The reversal of 1580898816 is 6188980851.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1580898811) 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 47 ways as a sum of consecutive naturals, for example, 50996721 + ... + 50996751.

It is an arithmetic number, because the mean of its divisors is an integer number (12190068).

Almost surely, 2^1580898816 is an apocalyptic number.

1580898816 is a gapful number since it is divisible by the number (16) 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 1580898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925616320).

1580898816 is an abundant number, since it is smaller than the sum of its proper divisors (4270333824).

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

1580898816 is an equidigital number, since it uses as much as digits as its factorization.

1580898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 1580898816 is about 39760.5183064809. The cubic root of 1580898816 is about 1164.9340998046.

The spelling of 1580898816 in words is "one billion, five hundred eighty million, eight hundred ninety-eight thousand, eight hundred sixteen".