13961669772960 has 1536 divisors, whose sum is σ = 62854206750720. Its totient is φ = 2815874482176.

The previous prime is 13961669772931. The next prime is 13961669772961. The reversal of 13961669772960 is 6927796616931.

13961669772960 is a `hidden beast` number, since 1 + 3 + 96 + 166 + 97 + 7 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13961669772961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 794486734 + ... + 794504306.

It is an arithmetic number, because the mean of its divisors is an integer number (40920707520).

Almost surely, 2^{13961669772960} is an apocalyptic number.

13961669772960 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 13961669772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31427103375360).

13961669772960 is an abundant number, since it is smaller than the sum of its proper divisors (48892536977760).

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

13961669772960 is a wasteful number, since it uses less digits than its factorization.

13961669772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17693 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 13961669772960 in words is "thirteen trillion, nine hundred sixty-one billion, six hundred sixty-nine million, seven hundred seventy-two thousand, nine hundred sixty".