10956728008800 has 1728 divisors, whose sum is σ = 48768328627200. Its totient is φ = 2258100633600.

The previous prime is 10956728008763. The next prime is 10956728008813. The reversal of 10956728008800 is 880082765901.

It is a super-3 number, since 3×10956728008800³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1971695622 + ... + 1971701178.

It is an arithmetic number, because the mean of its divisors is an integer number (28222412400).

Almost surely, 2^{10956728008800} is an apocalyptic number.

10956728008800 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 10956728008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384164313600).

10956728008800 is an abundant number, since it is smaller than the sum of its proper divisors (37811600618400).

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

10956728008800 is a wasteful number, since it uses less digits than its factorization.

10956728008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10956728008800 in words is "ten trillion, nine hundred fifty-six billion, seven hundred twenty-eight million, eight thousand, eight hundred".