10755854956800 has 1296 divisors, whose sum is σ = 42430333937600. Its totient is φ = 2698493460480.

The previous prime is 10755854956793. The next prime is 10755854956807. The reversal of 10755854956800 is 865945855701.

10755854956800 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 5 + 8 + 549 + 5 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10755854956793) and next prime (10755854956807).

It is a tau number, because it is divible by the number of its divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (10755854956807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4045073871 + ... + 4045076529.

Almost surely, 2^{10755854956800} is an apocalyptic number.

10755854956800 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 10755854956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215166968800).

10755854956800 is an abundant number, since it is smaller than the sum of its proper divisors (31674478980800).

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

10755854956800 is an frugal number, since it uses more digits than its factorization.

10755854956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 10755854956800 in words is "ten trillion, seven hundred fifty-five billion, eight hundred fifty-four million, nine hundred fifty-six thousand, eight hundred".