13763533960 has 256 divisors, whose sum is σ = 36548444160. Its totient is φ = 4614804480.

The previous prime is 13763533919. The next prime is 13763533997. The reversal of 13763533960 is 6933536731.

13763533960 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 (46).

It is a self number, because there is not a number n which added to its sum of digits gives 13763533960.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35935929 + ... + 35936311.

It is an arithmetic number, because the mean of its divisors is an integer number (142767360).

Almost surely, 2^13763533960 is an apocalyptic number.

13763533960 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 13763533960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18274222080).

13763533960 is an abundant number, since it is smaller than the sum of its proper divisors (22784910200).

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

13763533960 is a wasteful number, since it uses less digits than its factorization.

13763533960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 46.

The spelling of 13763533960 in words is "thirteen billion, seven hundred sixty-three million, five hundred thirty-three thousand, nine hundred sixty".