1056706560000 has 2400 divisors, whose sum is σ = 4942112181930. Its totient is φ = 222953472000.

The previous prime is 1056706559983. The next prime is 1056706560037. The reversal of 1056706560000 is 656076501.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 7868399616 + 1048838160384 = 88704^2 + 1024128^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×1056706560000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 149 ways as a sum of consecutive naturals, for example, 81285119994 + ... + 81285120006.

Almost surely, 2^{1056706560000} is an apocalyptic number.

1056706560000 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 1056706560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471056090965).

1056706560000 is an abundant number, since it is smaller than the sum of its proper divisors (3885405621930).

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

1056706560000 is an frugal number, since it uses more digits than its factorization.

1056706560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1056706560000 in words is "one trillion, fifty-six billion, seven hundred six million, five hundred sixty thousand".