1060633810656 has 672 divisors, whose sum is σ = 3638399385600. Its totient is φ = 297977315328.

The previous prime is 1060633810627. The next prime is 1060633810699. The reversal of 1060633810656 is 6560183360601.

1060633810656 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 633 + 8 + 1 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1060633810656² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 4126979680 + ... + 4126979936.

It is an arithmetic number, because the mean of its divisors is an integer number (5414284800).

Almost surely, 2^{1060633810656} is an apocalyptic number.

1060633810656 is a gapful number since it is divisible by the number (16) 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 1060633810656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819199692800).

1060633810656 is an abundant number, since it is smaller than the sum of its proper divisors (2577765574944).

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

1060633810656 is a wasteful number, since it uses less digits than its factorization.

1060633810656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1060633810656 in words is "one trillion, sixty billion, six hundred thirty-three million, eight hundred ten thousand, six hundred fifty-six".