13980526560 has 1536 divisors, whose sum is σ = 68035645440. Its totient is φ = 2587852800.

The previous prime is 13980526541. The next prime is 13980526561. The reversal of 13980526560 is 6562508931.

13980526560 is a `hidden beast` number, since 1 + 3 + 9 + 80 + 5 + 2 + 6 + 560 = 666.

13980526560 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13980526561) 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 255 ways as a sum of consecutive naturals, for example, 229188930 + ... + 229188990.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 2^13980526560 is an apocalyptic number.

13980526560 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 13980526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34017822720).

13980526560 is an abundant number, since it is smaller than the sum of its proper divisors (54055118880).

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

13980526560 is a wasteful number, since it uses less digits than its factorization.

13980526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13980526560 in words is "thirteen billion, nine hundred eighty million, five hundred twenty-six thousand, five hundred sixty".