13585827804768 has 768 divisors, whose sum is σ = 43429013913600. Its totient is φ = 4117186713600.

The previous prime is 13585827804767. The next prime is 13585827804779. The reversal of 13585827804768 is 86740872858531.

13585827804768 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 5 + 82 + 78 + 0 + 476 + 8 = 666.

It is a super-3 number, since 3×13585827804768³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13585827804696 and 13585827804705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585827804767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15316603621 + ... + 15316604507.

It is an arithmetic number, because the mean of its divisors is an integer number (56548195200).

Almost surely, 2^{13585827804768} is an apocalyptic number.

13585827804768 is a gapful number since it is divisible by the number (18) 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 13585827804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714506956800).

13585827804768 is an abundant number, since it is smaller than the sum of its proper divisors (29843186108832).

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

13585827804768 is a wasteful number, since it uses less digits than its factorization.

13585827804768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 13585827804768 in words is "thirteen trillion, five hundred eighty-five billion, eight hundred twenty-seven million, eight hundred four thousand, seven hundred sixty-eight".