13652312943360 has 576 divisors, whose sum is σ = 55514618772480. Its totient is φ = 2781158768640.

The previous prime is 13652312943323. The next prime is 13652312943383. The reversal of 13652312943360 is 6334921325631.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9460155 + ... + 10807365.

It is an arithmetic number, because the mean of its divisors is an integer number (96379546480).

Almost surely, 2^{13652312943360} is an apocalyptic number.

13652312943360 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 13652312943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757309386240).

13652312943360 is an abundant number, since it is smaller than the sum of its proper divisors (41862305829120).

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

13652312943360 is a wasteful number, since it uses less digits than its factorization.

13652312943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347284 (or 1347270 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 13652312943360 in words is "thirteen trillion, six hundred fifty-two billion, three hundred twelve million, nine hundred forty-three thousand, three hundred sixty".