10829080000500 has 48 divisors (see below), whose sum is σ = 31534280965824. Its totient is φ = 2887754666400.

The previous prime is 10829080000499. The next prime is 10829080000513. The reversal of 10829080000500 is 500008092801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3609691834 + ... + 3609694833.

It is an arithmetic number, because the mean of its divisors is an integer number (656964186788).

Almost surely, 2^{10829080000500} is an apocalyptic number.

10829080000500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829080000500 is an abundant number, since it is smaller than the sum of its proper divisors (20705200965324).

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

10829080000500 is a wasteful number, since it uses less digits than its factorization.

10829080000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7219386689 (or 7219386677 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 10829080000500 in words is "ten trillion, eight hundred twenty-nine billion, eighty million, five hundred", and thus it is an aban number.