1543828045824 has 640 divisors, whose sum is σ = 4932929548800. Its totient is φ = 480093143040.

The previous prime is 1543828045759. The next prime is 1543828045867. The reversal of 1543828045824 is 4285408283451.

1543828045824 is a `hidden beast` number, since 1 + 5 + 4 + 38 + 28 + 0 + 4 + 582 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2386132669 + ... + 2386133315.

It is an arithmetic number, because the mean of its divisors is an integer number (7707702420).

Almost surely, 2^{1543828045824} 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 1543828045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466464774400).

1543828045824 is an abundant number, since it is smaller than the sum of its proper divisors (3389101502976).

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

1543828045824 is an frugal number, since it uses more digits than its factorization.

1543828045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 1543828045824 in words is "one trillion, five hundred forty-three billion, eight hundred twenty-eight million, forty-five thousand, eight hundred twenty-four".