13961561760 has 720 divisors, whose sum is σ = 54501400800. Its totient is φ = 3355499520.

The previous prime is 13961561749. The next prime is 13961561767. The reversal of 13961561760 is 6716516931.

13961561760 is a `hidden beast` number, since 13 + 9 + 6 + 1 + 561 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (13961561767) 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 119 ways as a sum of consecutive naturals, for example, 236636611 + ... + 236636669.

It is an arithmetic number, because the mean of its divisors is an integer number (75696390).

Almost surely, 2^13961561760 is an apocalyptic number.

13961561760 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 13961561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27250700400).

13961561760 is an abundant number, since it is smaller than the sum of its proper divisors (40539839040).

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

13961561760 is a wasteful number, since it uses less digits than its factorization.

13961561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13961561760 in words is "thirteen billion, nine hundred sixty-one million, five hundred sixty-one thousand, seven hundred sixty".