10829768801 has 4 divisors (see below), whose sum is σ = 10830280704. Its totient is φ = 10829256900.

The previous prime is 10829768779. The next prime is 10829768839. The reversal of 10829768801 is 10886792801.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10886792801 = 33113 ⋅328777.

It is a cyclic number.

It is not a de Polignac number, because 10829768801 - 2¹⁸ = 10829506657 is a prime.

It is a super-2 number, since 2×10829768801² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10829768801.

It is not an unprimeable number, because it can be changed into a prime (10829764801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 222785 + ... + 267006.

It is an arithmetic number, because the mean of its divisors is an integer number (2707570176).

Almost surely, 2^10829768801 is an apocalyptic number.

It is an amenable number.

10829768801 is a deficient number, since it is larger than the sum of its proper divisors (511903).

10829768801 is an equidigital number, since it uses as much as digits as its factorization.

10829768801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511902.

The product of its (nonzero) digits is 387072, while the sum is 50.

The spelling of 10829768801 in words is "ten billion, eight hundred twenty-nine million, seven hundred sixty-eight thousand, eight hundred one".