13030028583804 has 288 divisors, whose sum is σ = 35792439883200. Its totient is φ = 4094215372800.

The previous prime is 13030028583763. The next prime is 13030028583809. The reversal of 13030028583804 is 40838582003031.

13030028583804 is a `hidden beast` number, since 1 + 30 + 30 + 0 + 2 + 8 + 583 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×13030028583804² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13030028583804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030028583809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1596617484 + ... + 1596625644.

It is an arithmetic number, because the mean of its divisors is an integer number (124279305150).

Almost surely, 2^{13030028583804} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030028583804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896219941600).

13030028583804 is an abundant number, since it is smaller than the sum of its proper divisors (22762411299396).

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

13030028583804 is a wasteful number, since it uses less digits than its factorization.

13030028583804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13030028583804 in words is "thirteen trillion, thirty billion, twenty-eight million, five hundred eighty-three thousand, eight hundred four".