1056020042688 has 224 divisors, whose sum is σ = 3053871862272. Its totient is φ = 320089190400.

The previous prime is 1056020042639. The next prime is 1056020042689. The reversal of 1056020042688 is 8862400206501.

It is a super-2 number, since 2×1056020042688² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056020042689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393595395 + ... + 393598077.

It is an arithmetic number, because the mean of its divisors is an integer number (13633356528).

Almost surely, 2^{1056020042688} 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 1056020042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526935931136).

1056020042688 is an abundant number, since it is smaller than the sum of its proper divisors (1997851819584).

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

1056020042688 is a wasteful number, since it uses less digits than its factorization.

1056020042688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1056020042688 in words is "one trillion, fifty-six billion, twenty million, forty-two thousand, six hundred eighty-eight".