13630218880 has 64 divisors (see below), whose sum is σ = 33635911680. Its totient is φ = 5276206080.

The previous prime is 13630218869. The next prime is 13630218893. The reversal of 13630218880 is 8881203631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 323664 + ... + 363343.

It is an arithmetic number, because the mean of its divisors is an integer number (525561120).

Almost surely, 2^13630218880 is an apocalyptic number.

13630218880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13630218880 is an abundant number, since it is smaller than the sum of its proper divisors (20005692800).

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

13630218880 is an equidigital number, since it uses as much as digits as its factorization.

13630218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687057 (or 687045 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 13630218880 in words is "thirteen billion, six hundred thirty million, two hundred eighteen thousand, eight hundred eighty".