10832133401800 has 48 divisors (see below), whose sum is σ = 25222811390100. Its totient is φ = 4326298310400.

The previous prime is 10832133401783. The next prime is 10832133401809. The reversal of 10832133401800 is 810433123801.

10832133401800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9204197280964 + 1627936120836 = 3033842^2 + 1275906^2 .

It is a super-2 number, since 2×10832133401800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10832133401809) 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, 40836535 + ... + 41100934.

Almost surely, 2^{10832133401800} is an apocalyptic number.

10832133401800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10832133401800 is an abundant number, since it is smaller than the sum of its proper divisors (14390677988300).

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

10832133401800 is a wasteful number, since it uses less digits than its factorization.

10832133401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81938146 (or 81938137 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10832133401800 in words is "ten trillion, eight hundred thirty-two billion, one hundred thirty-three million, four hundred one thousand, eight hundred".