1056768036480 has 1152 divisors, whose sum is σ = 4135769230320. Its totient is φ = 247131537408.

The previous prime is 1056768036463. The next prime is 1056768036481. The reversal of 1056768036480 is 846308676501.

1056768036480 is a `hidden beast` number, since 1 + 0 + 56 + 7 + 6 + 80 + 36 + 480 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 789834816 + 1055978201664 = 28104^2 + 1027608^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1056768036480² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056768036481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6108485674 + ... + 6108485846.

Almost surely, 2^{1056768036480} is an apocalyptic number.

1056768036480 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 1056768036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067884615160).

1056768036480 is an abundant number, since it is smaller than the sum of its proper divisors (3079001193840).

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

1056768036480 is a wasteful number, since it uses less digits than its factorization.

1056768036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1056768036480 in words is "one trillion, fifty-six billion, seven hundred sixty-eight million, thirty-six thousand, four hundred eighty".