13855808704752 has 320 divisors, whose sum is σ = 47677497016320. Its totient is φ = 3766851475200.

The previous prime is 13855808704741. The next prime is 13855808704789. The reversal of 13855808704752 is 25740780855831.

13855808704752 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 80 + 87 + 0 + 475 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13855808704752.

It is a congruent number.

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, 12762927 + ... + 13805937.

It is an arithmetic number, because the mean of its divisors is an integer number (148992178176).

Almost surely, 2^{13855808704752} is an apocalyptic number.

13855808704752 is a gapful number since it is divisible by the number (12) 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 13855808704752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838748508160).

13855808704752 is an abundant number, since it is smaller than the sum of its proper divisors (33821688311568).

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

13855808704752 is a wasteful number, since it uses less digits than its factorization.

13855808704752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043249 (or 1043237 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 13855808704752 in words is "thirteen trillion, eight hundred fifty-five billion, eight hundred eight million, seven hundred four thousand, seven hundred fifty-two".