1581048268800 has 2592 divisors, whose sum is σ = 7245821550240. Its totient is φ = 300574310400.

The previous prime is 1581048268747. The next prime is 1581048268871. The reversal of 1581048268800 is 88628401851.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 13991577544 + ... + 13991577656.

It is an arithmetic number, because the mean of its divisors is an integer number (2795455845).

Almost surely, 2^{1581048268800} is an apocalyptic number.

1581048268800 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 1581048268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622910775120).

1581048268800 is an abundant number, since it is smaller than the sum of its proper divisors (5664773281440).

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

1581048268800 is a wasteful number, since it uses less digits than its factorization.

1581048268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 1581048268800 in words is "one trillion, five hundred eighty-one billion, forty-eight million, two hundred sixty-eight thousand, eight hundred".