13775481720 has 1152 divisors, whose sum is σ = 63100477440. Its totient is φ = 2560481280.

The previous prime is 13775481689. The next prime is 13775481721. The reversal of 13775481720 is 2718457731.

13775481720 is a `hidden beast` number, since 1 + 3 + 77 + 548 + 17 + 20 = 666.

13775481720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775481721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108468297 + ... + 108468423.

It is an arithmetic number, because the mean of its divisors is an integer number (54774720).

Almost surely, 2^13775481720 is an apocalyptic number.

13775481720 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 13775481720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31550238720).

13775481720 is an abundant number, since it is smaller than the sum of its proper divisors (49324995720).

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

13775481720 is a wasteful number, since it uses less digits than its factorization.

13775481720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 13775481720 in words is "thirteen billion, seven hundred seventy-five million, four hundred eighty-one thousand, seven hundred twenty".