13366516320 has 288 divisors, whose sum is σ = 47692689408. Its totient is φ = 3535031808.

The previous prime is 13366516307. The next prime is 13366516327. The reversal of 13366516320 is 2361566331.

13366516320 is a `hidden beast` number, since 13 + 3 + 6 + 6 + 5 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13366516327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4936407 + ... + 4939113.

It is an arithmetic number, because the mean of its divisors is an integer number (165599616).

Almost surely, 2^13366516320 is an apocalyptic number.

13366516320 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 13366516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846344704).

13366516320 is an abundant number, since it is smaller than the sum of its proper divisors (34326173088).

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

13366516320 is a wasteful number, since it uses less digits than its factorization.

13366516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13366516320 in words is "thirteen billion, three hundred sixty-six million, five hundred sixteen thousand, three hundred twenty".