10729763972928 has 1344 divisors, whose sum is σ = 43528580659200. Its totient is φ = 2530173542400.

The previous prime is 10729763972861. The next prime is 10729763973007. The reversal of 10729763972928 is 82927936792701.

10729763972928 is a `hidden beast` number, since 10 + 7 + 297 + 6 + 39 + 7 + 292 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 949615023 + ... + 949626321.

It is an arithmetic number, because the mean of its divisors is an integer number (32387336800).

Almost surely, 2^{10729763972928} is an apocalyptic number.

10729763972928 is a gapful number since it is divisible by the number (18) 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 10729763972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764290329600).

10729763972928 is an abundant number, since it is smaller than the sum of its proper divisors (32798816686272).

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

10729763972928 is a wasteful number, since it uses less digits than its factorization.

10729763972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 10729763972928 in words is "ten trillion, seven hundred twenty-nine billion, seven hundred sixty-three million, nine hundred seventy-two thousand, nine hundred twenty-eight".