10727081164800 has 7200 divisors, whose sum is σ = 59468298785280. Its totient is φ = 1834588569600.

The previous prime is 10727081164777. The next prime is 10727081164801. The reversal of 10727081164800 is 846118072701.

10727081164800 is a `hidden beast` number, since 10 + 7 + 2 + 70 + 81 + 16 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10727081164801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 564583219191 + ... + 564583219209.

Almost surely, 2^{10727081164800} is an apocalyptic number.

10727081164800 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 10727081164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29734149392640).

10727081164800 is an abundant number, since it is smaller than the sum of its proper divisors (48741217620480).

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

10727081164800 is a wasteful number, since it uses less digits than its factorization.

10727081164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 10727081164800 in words is "ten trillion, seven hundred twenty-seven billion, eighty-one million, one hundred sixty-four thousand, eight hundred".