13527751680 has 528 divisors, whose sum is σ = 49570545024. Its totient is φ = 3536732160.

The previous prime is 13527751673. The next prime is 13527751703. The reversal of 13527751680 is 8615772531.

It is a happy number.

13527751680 is a `hidden beast` number, since 1 + 3 + 52 + 7 + 7 + 516 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103265215 + ... + 103265345.

It is an arithmetic number, because the mean of its divisors is an integer number (93883608).

Almost surely, 2^13527751680 is an apocalyptic number.

13527751680 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 13527751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785272512).

13527751680 is an abundant number, since it is smaller than the sum of its proper divisors (36042793344).

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

13527751680 is an equidigital number, since it uses as much as digits as its factorization.

13527751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13527751680 in words is "thirteen billion, five hundred twenty-seven million, seven hundred fifty-one thousand, six hundred eighty".