13487335680 has 432 divisors, whose sum is σ = 53324853120. Its totient is φ = 2844721152.

The previous prime is 13487335637. The next prime is 13487335699. The reversal of 13487335680 is 8653378431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4541236 + ... + 4544204.

It is an arithmetic number, because the mean of its divisors is an integer number (123437160).

Almost surely, 2^13487335680 is an apocalyptic number.

13487335680 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 13487335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26662426560).

13487335680 is an abundant number, since it is smaller than the sum of its proper divisors (39837517440).

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

13487335680 is a wasteful number, since it uses less digits than its factorization.

13487335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 13487335680 in words is "thirteen billion, four hundred eighty-seven million, three hundred thirty-five thousand, six hundred eighty".