13769325585792 has 768 divisors, whose sum is σ = 50802099436800. Its totient is φ = 3647360876544.

The previous prime is 13769325585779. The next prime is 13769325585797. The reversal of 13769325585792 is 29758552396731.

13769325585792 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 9 + 32 + 5 + 585 + 7 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13769325585792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13769325585797) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 192847123 + ... + 192918509.

It is an arithmetic number, because the mean of its divisors is an integer number (66148566975).

Almost surely, 2^{13769325585792} is an apocalyptic number.

13769325585792 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 13769325585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401049718400).

13769325585792 is an abundant number, since it is smaller than the sum of its proper divisors (37032773851008).

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

13769325585792 is a wasteful number, since it uses less digits than its factorization.

13769325585792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71508 (or 71483 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 13769325585792 in words is "thirteen trillion, seven hundred sixty-nine billion, three hundred twenty-five million, five hundred eighty-five thousand, seven hundred ninety-two".