11828434033130 has 64 divisors (see below), whose sum is σ = 25057223807616. Its totient is φ = 3963429792000.

The previous prime is 11828434033121. The next prime is 11828434033159. The reversal of 11828434033130 is 3133043482811.

It is a happy number.

11828434033130 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 2×11828434033130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6426581 + ... + 8059640.

It is an arithmetic number, because the mean of its divisors is an integer number (391519121994).

Almost surely, 2^{11828434033130} is an apocalyptic number.

11828434033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11828434033130 is an abundant number, since it is smaller than the sum of its proper divisors (13228789774486).

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

11828434033130 is a wasteful number, since it uses less digits than its factorization.

11828434033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14486823.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 11828434033130 in words is "eleven trillion, eight hundred twenty-eight billion, four hundred thirty-four million, thirty-three thousand, one hundred thirty".