13663506827880 has 1344 divisors, whose sum is σ = 57881900356560. Its totient is φ = 2875932573696.

The previous prime is 13663506827837. The next prime is 13663506827899. The reversal of 13663506827880 is 8872860536631.

It is a happy number.

13663506827880 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 350 + 6 + 8 + 278 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6527524229604 + 7135982598276 = 2554902^2 + 2671326^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 12500920614 + ... + 12500921706.

Almost surely, 2^{13663506827880} is an apocalyptic number.

13663506827880 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 13663506827880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28940950178280).

13663506827880 is an abundant number, since it is smaller than the sum of its proper divisors (44218393528680).

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

13663506827880 is a wasteful number, since it uses less digits than its factorization.

13663506827880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 13663506827880 in words is "thirteen trillion, six hundred sixty-three billion, five hundred six million, eight hundred twenty-seven thousand, eight hundred eighty".