13650197760 has 540 divisors, whose sum is σ = 50837695524. Its totient is φ = 3496919040.

The previous prime is 13650197747. The next prime is 13650197767. The reversal of 13650197760 is 6779105631.

13650197760 is a `hidden beast` number, since 13 + 6 + 501 + 9 + 77 + 60 = 666.

13650197760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6456443904 + 7193753856 = 80352^2 + 84816^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (13650197767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99636412 + ... + 99636548.

Almost surely, 2^13650197760 is an apocalyptic number.

13650197760 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 13650197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25418847762).

13650197760 is an abundant number, since it is smaller than the sum of its proper divisors (37187497764).

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

13650197760 is an equidigital number, since it uses as much as digits as its factorization.

13650197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 13650197760 in words is "thirteen billion, six hundred fifty million, one hundred ninety-seven thousand, seven hundred sixty".