13029530784480 has 576 divisors, whose sum is σ = 53167340520000. Its totient is φ = 2971523874816.

The previous prime is 13029530784469. The next prime is 13029530784509. The reversal of 13029530784480 is 8448703592031.

It is a happy number.

13029530784480 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 95 + 3 + 0 + 78 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94975776 + ... + 95112864.

It is an arithmetic number, because the mean of its divisors is an integer number (92304410625).

Almost surely, 2^{13029530784480} is an apocalyptic number.

13029530784480 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 13029530784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26583670260000).

13029530784480 is an abundant number, since it is smaller than the sum of its proper divisors (40137809735520).

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

13029530784480 is a wasteful number, since it uses less digits than its factorization.

13029530784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137576 (or 137555 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13029530784480 in words is "thirteen trillion, twenty-nine billion, five hundred thirty million, seven hundred eighty-four thousand, four hundred eighty".