13829122610 has 24 divisors (see below), whose sum is σ = 24935739948. Its totient is φ = 5522036000.

The previous prime is 13829122561. The next prime is 13829122633. The reversal of 13829122610 is 1622192831.

It can be written as a sum of positive squares in 2 ways, for example, as 11276953249 + 2552169361 = 106193^2 + 50519^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10628960 + ... + 10630260.

Almost surely, 2^13829122610 is an apocalyptic number.

13829122610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13829122610 is a deficient number, since it is larger than the sum of its proper divisors (11106617338).

13829122610 is an equidigital number, since it uses as much as digits as its factorization.

13829122610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 13829122610 in words is "thirteen billion, eight hundred twenty-nine million, one hundred twenty-two thousand, six hundred ten".