10829420319744 has 528 divisors, whose sum is σ = 36238601059200. Its totient is φ = 3187222511616.

The previous prime is 10829420319737. The next prime is 10829420319791. The reversal of 10829420319744 is 44791302492801.

10829420319744 is a `hidden beast` number, since 1 + 0 + 8 + 29 + 420 + 3 + 197 + 4 + 4 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 107417392 + ... + 107518160.

Almost surely, 2^{10829420319744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10829420319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119300529600).

10829420319744 is an abundant number, since it is smaller than the sum of its proper divisors (25409180739456).

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

10829420319744 is a wasteful number, since it uses less digits than its factorization.

10829420319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100847 (or 100810 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10829420319744 in words is "ten trillion, eight hundred twenty-nine billion, four hundred twenty million, three hundred nineteen thousand, seven hundred forty-four".