10709828812800 has 2520 divisors, whose sum is σ = 44765048603520. Its totient is φ = 2522559283200.

The previous prime is 10709828812799. The next prime is 10709828812817. The reversal of 10709828812800 is 821882890701.

10709828812800 is a `hidden beast` number, since 10 + 70 + 9 + 8 + 288 + 1 + 280 + 0 = 666.

It is a super-2 number, since 2×10709828812800² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 120335155156 + ... + 120335155244.

It is an arithmetic number, because the mean of its divisors is an integer number (17763908176).

Almost surely, 2^{10709828812800} is an apocalyptic number.

10709828812800 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 10709828812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382524301760).

10709828812800 is an abundant number, since it is smaller than the sum of its proper divisors (34055219790720).

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

10709828812800 is an frugal number, since it uses more digits than its factorization.

10709828812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 10709828812800 in words is "ten trillion, seven hundred nine billion, eight hundred twenty-eight million, eight hundred twelve thousand, eight hundred".