13678126560 has 960 divisors, whose sum is σ = 59935075200. Its totient is φ = 2926264320.

The previous prime is 13678126549. The next prime is 13678126601. The reversal of 13678126560 is 6562187631.

13678126560 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 81 + 2 + 6 + 560 = 666.

It is a super-2 number, since 2×13678126560² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 75569670 + ... + 75569850.

It is an arithmetic number, because the mean of its divisors is an integer number (62432370).

Almost surely, 2^13678126560 is an apocalyptic number.

13678126560 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 13678126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967537600).

13678126560 is an abundant number, since it is smaller than the sum of its proper divisors (46256948640).

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

13678126560 is a wasteful number, since it uses less digits than its factorization.

13678126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13678126560 in words is "thirteen billion, six hundred seventy-eight million, one hundred twenty-six thousand, five hundred sixty".