13169661120 has 336 divisors, whose sum is σ = 56476562688. Its totient is φ = 2736506880.

The previous prime is 13169661079. The next prime is 13169661137. The reversal of 13169661120 is 2116696131.

13169661120 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192067 + ... + 251453.

It is an arithmetic number, because the mean of its divisors is an integer number (168085008).

Almost surely, 2^13169661120 is an apocalyptic number.

13169661120 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 13169661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28238281344).

13169661120 is an abundant number, since it is smaller than the sum of its proper divisors (43306901568).

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

13169661120 is a wasteful number, since it uses less digits than its factorization.

13169661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59428 (or 59415 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 13169661120 in words is "thirteen billion, one hundred sixty-nine million, six hundred sixty-one thousand, one hundred twenty".