13005389030400 has 2640 divisors, whose sum is σ = 54487652567040. Its totient is φ = 3043314892800.

The previous prime is 13005389030357. The next prime is 13005389030407. The reversal of 13005389030400 is 403098350031.

13005389030400 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 538 + 90 + 30 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13005389030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 66017203102 + ... + 66017203298.

It is an arithmetic number, because the mean of its divisors is an integer number (20639262336).

Almost surely, 2^{13005389030400} is an apocalyptic number.

13005389030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005389030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243826283520).

13005389030400 is an abundant number, since it is smaller than the sum of its proper divisors (41482263536640).

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

13005389030400 is a wasteful number, since it uses less digits than its factorization.

13005389030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13005389030400 in words is "thirteen trillion, five billion, three hundred eighty-nine million, thirty thousand, four hundred".