10799504352 has 648 divisors, whose sum is σ = 40460716296. Its totient is φ = 2706794496.

The previous prime is 10799504327. The next prime is 10799504381. The reversal of 10799504352 is 25340599701.

It is a happy number.

10799504352 is a `hidden beast` number, since 1 + 0 + 7 + 99 + 504 + 3 + 52 = 666.

10799504352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10799504298 and 10799504307.

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 107 ways as a sum of consecutive naturals, for example, 251151243 + ... + 251151285.

It is an arithmetic number, because the mean of its divisors is an integer number (62439377).

Almost surely, 2^10799504352 is an apocalyptic number.

10799504352 is a gapful number since it is divisible by the number (12) 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 10799504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20230358148).

10799504352 is an abundant number, since it is smaller than the sum of its proper divisors (29661211944).

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

10799504352 is a wasteful number, since it uses less digits than its factorization.

10799504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10799504352 in words is "ten billion, seven hundred ninety-nine million, five hundred four thousand, three hundred fifty-two".