13775748480 has 192 divisors, whose sum is σ = 51228843120. Its totient is φ = 3390935040.

The previous prime is 13775748451. The next prime is 13775748487. The reversal of 13775748480 is 8484757731.

13775748480 is a `hidden beast` number, since 1 + 3 + 77 + 57 + 48 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775748487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17106 + ... + 166865.

Almost surely, 2^13775748480 is an apocalyptic number.

13775748480 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 13775748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25614421560).

13775748480 is an abundant number, since it is smaller than the sum of its proper divisors (37453094640).

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

13775748480 is a wasteful number, since it uses less digits than its factorization.

13775748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184009 (or 183994 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 13775748480 in words is "thirteen billion, seven hundred seventy-five million, seven hundred forty-eight thousand, four hundred eighty".