13650016320 has 560 divisors, whose sum is σ = 51181699008. Its totient is φ = 3448811520.

The previous prime is 13650016301. The next prime is 13650016339. The reversal of 13650016320 is 2361005631.

13650016320 is a `hidden beast` number, since 1 + 3 + 650 + 0 + 1 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13650016301) and next prime (13650016339).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41238555 + ... + 41238885.

Almost surely, 2^13650016320 is an apocalyptic number.

13650016320 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 13650016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590849504).

13650016320 is an abundant number, since it is smaller than the sum of its proper divisors (37531682688).

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

13650016320 is a wasteful number, since it uses less digits than its factorization.

13650016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13650016320 in words is "thirteen billion, six hundred fifty million, sixteen thousand, three hundred twenty".