13505568889680 has 480 divisors, whose sum is σ = 52075264969728. Its totient is φ = 3072751718400.

The previous prime is 13505568889661. The next prime is 13505568889699. The reversal of 13505568889680 is 8698886550531.

13505568889680 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 556 + 8 + 8 + 8 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13505568889661) and next prime (13505568889699).

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

It is a junction number, because it is equal to n+sod(n) for n = 13505568889599 and 13505568889608.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 978161337 + ... + 978175143.

Almost surely, 2^{13505568889680} is an apocalyptic number.

13505568889680 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 13505568889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037632484864).

13505568889680 is an abundant number, since it is smaller than the sum of its proper divisors (38569696080048).

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

13505568889680 is a wasteful number, since it uses less digits than its factorization.

13505568889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715 (or 14706 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 13505568889680 in words is "thirteen trillion, five hundred five billion, five hundred sixty-eight million, eight hundred eighty-nine thousand, six hundred eighty".