13652355360 has 192 divisors, whose sum is σ = 50734301184. Its totient is φ = 3019852800.

The previous prime is 13652355331. The next prime is 13652355389. The reversal of 13652355360 is 6355325631.

13652355360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13652355331) and next prime (13652355389).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38625 + ... + 169695.

It is an arithmetic number, because the mean of its divisors is an integer number (264241152).

Almost surely, 2^13652355360 is an apocalyptic number.

13652355360 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 13652355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367150592).

13652355360 is an abundant number, since it is smaller than the sum of its proper divisors (37081945824).

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

13652355360 is a wasteful number, since it uses less digits than its factorization.

13652355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131127 (or 131119 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 13652355360 in words is "thirteen billion, six hundred fifty-two million, three hundred fifty-five thousand, three hundred sixty".