1056000601008 has 120 divisors (see below), whose sum is σ = 3057365857728. Its totient is φ = 339986543616.

The previous prime is 1056000601001. The next prime is 1056000601091. The reversal of 1056000601008 is 8001060006501.

1056000601008 is a `hidden beast` number, since 1 + 0 + 56 + 0 + 0 + 0 + 601 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1056000601008² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056000601001) 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 23 ways as a sum of consecutive naturals, for example, 6585 + ... + 1453287.

Almost surely, 2^{1056000601008} is an apocalyptic number.

1056000601008 is a gapful number since it is divisible by the number (18) 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 1056000601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528682928864).

1056000601008 is an abundant number, since it is smaller than the sum of its proper divisors (2001365256720).

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

1056000601008 is a wasteful number, since it uses less digits than its factorization.

1056000601008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446891 (or 1446882 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1056000601008 its reverse (8001060006501), we get a palindrome (9057060607509).

The spelling of 1056000601008 in words is "one trillion, fifty-six billion, six hundred one thousand, eight".