10559256746400 has 720 divisors, whose sum is σ = 40315943052000. Its totient is φ = 2685910026240.

The previous prime is 10559256746359. The next prime is 10559256746459. The reversal of 10559256746400 is 464765295501.

10559256746400 is a `hidden beast` number, since 1 + 0 + 5 + 592 + 5 + 6 + 7 + 4 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10559256746400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 155939751 + ... + 156007449.

It is an arithmetic number, because the mean of its divisors is an integer number (55994365350).

Almost surely, 2^{10559256746400} is an apocalyptic number.

10559256746400 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 10559256746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157971526000).

10559256746400 is an abundant number, since it is smaller than the sum of its proper divisors (29756686305600).

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

10559256746400 is a wasteful number, since it uses less digits than its factorization.

10559256746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67843 (or 67821 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10559256746400 in words is "ten trillion, five hundred fifty-nine billion, two hundred fifty-six million, seven hundred forty-six thousand, four hundred".