13375363680 has 576 divisors, whose sum is σ = 54897937920. Its totient is φ = 2979016704.

The previous prime is 13375363657. The next prime is 13375363681. The reversal of 13375363680 is 8636357331.

13375363680 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 3 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375363681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161148919 + ... + 161149001.

It is an arithmetic number, because the mean of its divisors is an integer number (95308920).

Almost surely, 2^13375363680 is an apocalyptic number.

13375363680 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 13375363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27448968960).

13375363680 is an abundant number, since it is smaller than the sum of its proper divisors (41522574240).

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

13375363680 is an equidigital number, since it uses as much as digits as its factorization.

13375363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 13375363680 in words is "thirteen billion, three hundred seventy-five million, three hundred sixty-three thousand, six hundred eighty".