13780521216 has 432 divisors, whose sum is σ = 49934102400. Its totient is φ = 3550740480.

The previous prime is 13780521211. The next prime is 13780521241. The reversal of 13780521216 is 61212508731.

13780521216 is a `hidden beast` number, since 1 + 37 + 80 + 521 + 21 + 6 = 666.

It is a super-2 number, since 2×13780521216² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13780521211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30691360 + ... + 30691808.

It is an arithmetic number, because the mean of its divisors is an integer number (115588200).

Almost surely, 2^13780521216 is an apocalyptic number.

13780521216 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 13780521216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967051200).

13780521216 is an abundant number, since it is smaller than the sum of its proper divisors (36153581184).

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

13780521216 is a wasteful number, since it uses less digits than its factorization.

13780521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13780521216 in words is "thirteen billion, seven hundred eighty million, five hundred twenty-one thousand, two hundred sixteen".