13487886720 has 1280 divisors, whose sum is σ = 62559129600. Its totient is φ = 2687385600.

The previous prime is 13487886719. The next prime is 13487886749. The reversal of 13487886720 is 2768878431.

It is a happy number.

13487886720 is a `hidden beast` number, since 1 + 3 + 487 + 88 + 67 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 123742026 + ... + 123742134.

It is an arithmetic number, because the mean of its divisors is an integer number (48874320).

Almost surely, 2^13487886720 is an apocalyptic number.

13487886720 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 13487886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31279564800).

13487886720 is an abundant number, since it is smaller than the sum of its proper divisors (49071242880).

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

13487886720 is a wasteful number, since it uses less digits than its factorization.

13487886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 13487886720 in words is "thirteen billion, four hundred eighty-seven million, eight hundred eighty-six thousand, seven hundred twenty".