13800775680 has 224 divisors, whose sum is σ = 49070361600. Its totient is φ = 3679911936.

The previous prime is 13800775663. The next prime is 13800775687. The reversal of 13800775680 is 8657700831.

13800775680 is a `hidden beast` number, since 1 + 3 + 80 + 0 + 7 + 7 + 568 + 0 = 666.

It is a super-2 number, since 2×13800775680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13800775687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099681 + ... + 1112159.

Almost surely, 2^13800775680 is an apocalyptic number.

13800775680 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 13800775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24535180800).

13800775680 is an abundant number, since it is smaller than the sum of its proper divisors (35269585920).

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

13800775680 is an equidigital number, since it uses as much as digits as its factorization.

13800775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12519 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13800775680 in words is "thirteen billion, eight hundred million, seven hundred seventy-five thousand, six hundred eighty".