10829607550 has 24 divisors (see below), whose sum is σ = 20473290072. Its totient is φ = 4260828000.

The previous prime is 10829607539. The next prime is 10829607559. The reversal of 10829607550 is 5570692801.

10829607550 = 10357² + 10358² + ... + 10456².

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10829607497 and 10829607506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829607559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1772296 + ... + 1778395.

It is an arithmetic number, because the mean of its divisors is an integer number (853053753).

Almost surely, 2^10829607550 is an apocalyptic number.

10829607550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10829607550 is a deficient number, since it is larger than the sum of its proper divisors (9643682522).

10829607550 is a wasteful number, since it uses less digits than its factorization.

10829607550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550764 (or 3550759 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 10829607550 in words is "ten billion, eight hundred twenty-nine million, six hundred seven thousand, five hundred fifty".