10824804089020 has 12 divisors (see below), whose sum is σ = 22732088586984. Its totient is φ = 4329921635600.

The previous prime is 10824804088991. The next prime is 10824804089027. The reversal of 10824804089020 is 2098040842801.

10824804089020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10824804089020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824804089027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270620102206 + ... + 270620102245.

It is an arithmetic number, because the mean of its divisors is an integer number (1894340715582).

Almost surely, 2^{10824804089020} is an apocalyptic number.

10824804089020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10824804089020 is an abundant number, since it is smaller than the sum of its proper divisors (11907284497964).

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

10824804089020 is a wasteful number, since it uses less digits than its factorization.

10824804089020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541240204460 (or 541240204458 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 10824804089020 in words is "ten trillion, eight hundred twenty-four billion, eight hundred four million, eighty-nine thousand, twenty".