13527295488 has 400 divisors, whose sum is σ = 48875469984. Its totient is φ = 3636264960.

The previous prime is 13527295433. The next prime is 13527295489. The reversal of 13527295488 is 88459272531.

13527295488 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 72 + 95 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13527295489) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4933798 + ... + 4936538.

Almost surely, 2^13527295488 is an apocalyptic number.

13527295488 is a gapful number since it is divisible by the number (18) 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 13527295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24437734992).

13527295488 is an abundant number, since it is smaller than the sum of its proper divisors (35348174496).

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

13527295488 is an equidigital number, since it uses as much as digits as its factorization.

13527295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2770 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 13527295488 in words is "thirteen billion, five hundred twenty-seven million, two hundred ninety-five thousand, four hundred eighty-eight".