13679052660 has 1152 divisors, whose sum is σ = 59028480000. Its totient is φ = 2615348736.

The previous prime is 13679052643. The next prime is 13679052661. The reversal of 13679052660 is 6625097631.

13679052660 is a `hidden beast` number, since 1 + 3 + 67 + 9 + 0 + 526 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679052661) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 594741409 + ... + 594741431.

It is an arithmetic number, because the mean of its divisors is an integer number (51240000).

Almost surely, 2^13679052660 is an apocalyptic number.

13679052660 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 13679052660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29514240000).

13679052660 is an abundant number, since it is smaller than the sum of its proper divisors (45349427340).

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

13679052660 is a wasteful number, since it uses less digits than its factorization.

13679052660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13679052660 in words is "thirteen billion, six hundred seventy-nine million, fifty-two thousand, six hundred sixty".