1050782540544 has 288 divisors, whose sum is σ = 3416558100480. Its totient is φ = 315908812800.

The previous prime is 1050782540531. The next prime is 1050782540593. The reversal of 1050782540544 is 4450452870501.

1050782540544 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 8 + 2 + 54 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1050782540544² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050782540544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9601654 + ... + 9710474.

It is an arithmetic number, because the mean of its divisors is an integer number (11863048960).

Almost surely, 2^{1050782540544} 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 1050782540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708279050240).

1050782540544 is an abundant number, since it is smaller than the sum of its proper divisors (2365775559936).

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

1050782540544 is a wasteful number, since it uses less digits than its factorization.

1050782540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108984 (or 108964 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 1050782540544 in words is "one trillion, fifty billion, seven hundred eighty-two million, five hundred forty thousand, five hundred forty-four".