13653852942240 has 384 divisors, whose sum is σ = 54620588736000. Its totient is φ = 3120584859648.

The previous prime is 13653852942187. The next prime is 13653852942287. The reversal of 13653852942240 is 4224925835631.

13653852942240 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 38 + 529 + 42 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570586596 + ... + 570610524.

It is an arithmetic number, because the mean of its divisors is an integer number (142241116500).

Almost surely, 2^{13653852942240} is an apocalyptic number.

13653852942240 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 13653852942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310294368000).

13653852942240 is an abundant number, since it is smaller than the sum of its proper divisors (40966735793760).

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

13653852942240 is a wasteful number, since it uses less digits than its factorization.

13653852942240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42829 (or 42815 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 13653852942240 in words is "thirteen trillion, six hundred fifty-three billion, eight hundred fifty-two million, nine hundred forty-two thousand, two hundred forty".