10773239016960 has 1920 divisors, whose sum is σ = 47433096944640. Its totient is φ = 2268440100864.

The previous prime is 10773239016913. The next prime is 10773239016971. The reversal of 10773239016960 is 6961093237701.

It is a happy number.

10773239016960 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 32 + 390 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 10773239016897 and 10773239016906.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6462650047 + ... + 6462651713.

It is an arithmetic number, because the mean of its divisors is an integer number (24704737992).

Almost surely, 2^{10773239016960} is an apocalyptic number.

10773239016960 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 10773239016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716548472320).

10773239016960 is an abundant number, since it is smaller than the sum of its proper divisors (36659857927680).

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

10773239016960 is a wasteful number, since it uses less digits than its factorization.

10773239016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 10773239016960 in words is "ten trillion, seven hundred seventy-three billion, two hundred thirty-nine million, sixteen thousand, nine hundred sixty".