13655882240 has 480 divisors, whose sum is σ = 44571897216. Its totient is φ = 3875143680.

The previous prime is 13655882237. The next prime is 13655882249. The reversal of 13655882240 is 4228855631.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 13655882191 and 13655882200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13655882249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187066844 + ... + 187066916.

Almost surely, 2^13655882240 is an apocalyptic number.

13655882240 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 13655882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285948608).

13655882240 is an abundant number, since it is smaller than the sum of its proper divisors (30916014976).

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

13655882240 is an equidigital number, since it uses as much as digits as its factorization.

13655882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 13655882240 in words is "thirteen billion, six hundred fifty-five million, eight hundred eighty-two thousand, two hundred forty".