13687811280 has 480 divisors, whose sum is σ = 56855111040. Its totient is φ = 2901381120.

The previous prime is 13687811257. The next prime is 13687811281. The reversal of 13687811280 is 8211878631.

It is a happy number.

13687811280 is a `hidden beast` number, since 1 + 368 + 7 + 8 + 1 + 1 + 280 = 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 (13687811281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952742 + ... + 1959738.

It is an arithmetic number, because the mean of its divisors is an integer number (118448148).

Almost surely, 2^13687811280 is an apocalyptic number.

13687811280 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 13687811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28427555520).

13687811280 is an abundant number, since it is smaller than the sum of its proper divisors (43167299760).

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

13687811280 is a wasteful number, since it uses less digits than its factorization.

13687811280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 13687811280 in words is "thirteen billion, six hundred eighty-seven million, eight hundred eleven thousand, two hundred eighty".