13661686080 has 504 divisors, whose sum is σ = 55154230560. Its totient is φ = 3094640640.

The previous prime is 13661686079. The next prime is 13661686091. The reversal of 13661686080 is 8068616631.

13661686080 is a `hidden beast` number, since 1 + 36 + 6 + 1 + 6 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18486351 + ... + 18487089.

Almost surely, 2^13661686080 is an apocalyptic number.

13661686080 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 13661686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27577115280).

13661686080 is an abundant number, since it is smaller than the sum of its proper divisors (41492544480).

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

13661686080 is a wasteful number, since it uses less digits than its factorization.

13661686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13661686080 in words is "thirteen billion, six hundred sixty-one million, six hundred eighty-six thousand, eighty".