13055164416 has 576 divisors, whose sum is σ = 48318197760. Its totient is φ = 3397386240.

The previous prime is 13055164411. The next prime is 13055164457. The reversal of 13055164416 is 61446155031.

13055164416 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 1 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055164411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421134321 + ... + 421134351.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 2^13055164416 is an apocalyptic number.

13055164416 is a gapful number since it is divisible by the number (16) 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 13055164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159098880).

13055164416 is an abundant number, since it is smaller than the sum of its proper divisors (35263033344).

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

13055164416 is an frugal number, since it uses more digits than its factorization.

13055164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13055164416 in words is "thirteen billion, fifty-five million, one hundred sixty-four thousand, four hundred sixteen".