13787813326560 has 864 divisors, whose sum is σ = 54768077320320. Its totient is φ = 2905872592896.

The previous prime is 13787813326549. The next prime is 13787813326561. The reversal of 13787813326560 is 6562331878731.

It is a happy number.

13787813326560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13787813326494 and 13787813326503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13787813326561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5894745871 + ... + 5894748209.

It is an arithmetic number, because the mean of its divisors is an integer number (63388978380).

Almost surely, 2^{13787813326560} is an apocalyptic number.

13787813326560 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 13787813326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27384038660160).

13787813326560 is an abundant number, since it is smaller than the sum of its proper divisors (40980263993760).

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

13787813326560 is a wasteful number, since it uses less digits than its factorization.

13787813326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 13787813326560 in words is "thirteen trillion, seven hundred eighty-seven billion, eight hundred thirteen million, three hundred twenty-six thousand, five hundred sixty".