10794829824 has 288 divisors, whose sum is σ = 32792760000. Its totient is φ = 3547348992.

The previous prime is 10794829817. The next prime is 10794829919. The reversal of 10794829824 is 42892849701.

10794829824 is a `hidden beast` number, since 1 + 0 + 79 + 482 + 98 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54245277 + ... + 54245475.

It is an arithmetic number, because the mean of its divisors is an integer number (113863750).

Almost surely, 2^10794829824 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 10794829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396380000).

10794829824 is an abundant number, since it is smaller than the sum of its proper divisors (21997930176).

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

10794829824 is an equidigital number, since it uses as much as digits as its factorization.

10794829824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10794829824 in words is "ten billion, seven hundred ninety-four million, eight hundred twenty-nine thousand, eight hundred twenty-four".