10795072824 has 224 divisors, whose sum is σ = 31222638000. Its totient is φ = 3496214016.

The previous prime is 10795072823. The next prime is 10795072831. The reversal of 10795072824 is 42827059701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10795072824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10795072823) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 47139942 + ... + 47140170.

Almost surely, 2^10795072824 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 10795072824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611319000).

10795072824 is an abundant number, since it is smaller than the sum of its proper divisors (20427565176).

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

10795072824 is a wasteful number, since it uses less digits than its factorization.

10795072824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10795072824 in words is "ten billion, seven hundred ninety-five million, seventy-two thousand, eight hundred twenty-four".