1056072844288 has 176 divisors, whose sum is σ = 2641595266944. Its totient is φ = 409963069440.

The previous prime is 1056072844231. The next prime is 1056072844303. The reversal of 1056072844288 is 8824482706501.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×1056072844288² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21816720 + ... + 21865072.

Almost surely, 2^{1056072844288} 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 1056072844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320797633472).

1056072844288 is an abundant number, since it is smaller than the sum of its proper divisors (1585522422656).

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

1056072844288 is a wasteful number, since it uses less digits than its factorization.

1056072844288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48668 (or 48650 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 1056072844288 in words is "one trillion, fifty-six billion, seventy-two million, eight hundred forty-four thousand, two hundred eighty-eight".