10829849235 has 64 divisors (see below), whose sum is σ = 19490803200. Its totient is φ = 5102548992.

The previous prime is 10829849203. The next prime is 10829849267. The reversal of 10829849235 is 53294892801.

It is an interprime number because it is at equal distance from previous prime (10829849203) and next prime (10829849267).

It is not a de Polignac number, because 10829849235 - 2⁵ = 10829849203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517852 + ... + 538358.

It is an arithmetic number, because the mean of its divisors is an integer number (304543800).

Almost surely, 2^10829849235 is an apocalyptic number.

10829849235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10829849235 is a deficient number, since it is larger than the sum of its proper divisors (8660953965).

10829849235 is a wasteful number, since it uses less digits than its factorization.

10829849235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660.

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 10829849235 in words is "ten billion, eight hundred twenty-nine million, eight hundred forty-nine thousand, two hundred thirty-five".