13543961760 has 288 divisors, whose sum is σ = 53689813632. Its totient is φ = 3044874240.

The previous prime is 13543961749. The next prime is 13543961791. The reversal of 13543961760 is 6716934531.

It is a happy number.

13543961760 is a `hidden beast` number, since 1 + 3 + 543 + 96 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603867 + ... + 625893.

It is an arithmetic number, because the mean of its divisors is an integer number (186422964).

Almost surely, 2^13543961760 is an apocalyptic number.

13543961760 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 13543961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26844906816).

13543961760 is an abundant number, since it is smaller than the sum of its proper divisors (40145851872).

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

13543961760 is a wasteful number, since it uses less digits than its factorization.

13543961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22116 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13543961760 in words is "thirteen billion, five hundred forty-three million, nine hundred sixty-one thousand, seven hundred sixty".