1580974243680 has 384 divisors, whose sum is σ = 5657969318400. Its totient is φ = 367861284864.

The previous prime is 1580974243679. The next prime is 1580974243697. The reversal of 1580974243680 is 863424790851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1580974243680.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 54167331 + ... + 54196509.

It is an arithmetic number, because the mean of its divisors is an integer number (14734295100).

It is a 1-persistent number, because it is pandigital, but 2⋅1580974243680 = 3161948487360 is not.

Almost surely, 2^{1580974243680} is an apocalyptic number.

1580974243680 is a gapful number since it is divisible by the number (10) 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 1580974243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828984659200).

1580974243680 is an abundant number, since it is smaller than the sum of its proper divisors (4076995074720).

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

1580974243680 is a wasteful number, since it uses less digits than its factorization.

1580974243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29686 (or 29678 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 1580974243680 in words is "one trillion, five hundred eighty billion, nine hundred seventy-four million, two hundred forty-three thousand, six hundred eighty".